Cho tam giác ABC vuông tại A,AB/AC=3/7 đường cao AH=42 cm.Tính chu vi tam giác ABH và diện tích tam giác AHC
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Áp dụng định lý Pytago trong ∆ ABC vuông tại A ta có:
Áp dụng hệ thức lượng trong ∆ ABC vuông tại A có đường cao AH ta có:
Đáp án cần chọn là: B
![](https://rs.olm.vn/images/avt/0.png?1311)
\(S_{ABC}=\dfrac{1}{2}\cdot AB\cdot AC\)
=>1/2*6*AC=24
=>AC*3=24
=>AC=8cm
=>BC=10cm
AH=6*8/10=4,8cm
H=8^2/10=6,4cm
S AHC=1/2*4,8*6,4=15,36cm2
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Xét ΔABC vuông tại A có AH là đường cao
nên AB^2=BH*BC và AC^2=CH*BC
=>AB^2/AC^2=BH/CH
b: S AHC=8,64
=>1/2*AH*HC=8,64
=>AH*HC=17,28
S AHB=15,36
=>1/2*AH*HB=15,36
=>AH*HB=30,72
mà AH*HC=17,28
nên AH*AH*HB*HC=30,72*17,28
=>AH^2*AH^2=30,72*17,28
=>AH^4=530,8416
=>\(AH=\sqrt[4]{530.8416}=4.8\left(cm\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Xét ΔABH vuông tại H và ΔCBA vuông tại A có
góc B chung
=>ΔABH đồng dạng với ΔCBA
b:AB=căn 3,6*10=6(cm)
c: Xét ΔHAB vuông tại H và ΔHCA vuông tại H có
góc HAB=góc HCA
=>ΔHAB đồng dạng với ΔHCA
=>S HAB/S HCA=(AB/CA)^2
Lời giải:
Vì $AB: AC=3:7$ nên đặt $AB=3a; AC=7a$. Áp dụng hệ thức lượng trong tam giác vuông:
$\frac{1}{AH^2}=\frac{1}{AB^2}+\frac{1}{AC^2}$
$\frac{1}{42^2}=\frac{1}{(3a)^2}+\frac{1}{(7a)^2}$
$\frac{1}{42^2}=\frac{58}{441a^2}$
$\Rightarrow a=2\sqrt{58}$ (cm)
$AB=3a=6\sqrt{58}$ (cm)
$BH=\sqrt{AB^2-AH^2}=\sqrt{(6\sqrt{58})^2-42^2}=18$ (cm)
Chu vi $ABH$: $AB+BH+AH=6\sqrt{58}+18+42=60+6\sqrt{58}$ (cm)
$AC=7a=14\sqrt{58}$ (cm)
$HC=\sqrt{AC^2-AH^2}=\sqrt{(14\sqrt{58})^2-42^2}=98$ (cm)
$S_{AHC}=\frac{AH.HC}{2}=\frac{42.98}{2}=2058$ (cm vuông)
Hình vẽ:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUkAAADVCAYAAADaWQIkAAAc5UlEQVR4Ae2de3RV1Z3H+0dXdQSqIw0BBASMC1DKYCvIe7l8IY8INY2FFcUCa1AWSqDjE3HRgUGwQEmkUioSS1eG0tLWycBQYsAoICgaYDI6BiLFGkVpJJJBpUDIb9b36D6ce+8593nuydnnfM9aWefmvPY+n9++37t/+7cf3xBuJEACJEACjgS+4XiGJ0iABEiABIQiyUJAAiRAAnEIUCTjwOEpEiABEqBIsgyQAAmQQBwCFMk4cHiKBEiABCiSLAMkQAIkEIcARTIOHJ4iARIgAYokywAJkAAJxCFAkYwDh6dIgARIgCLJMkACJEACcQhQJOPA4SkSIAESoEiyDJAACZBAHAIUyThweIoESIAEKJIsAyRAAiQQh4CWIpmfL6L+Jk4UKS4WOXw4zlvyFAmQAAmkSUBbkVTv29oqUlUlcv/96gj3JEACJOAeAe1FUqEoKFCfuCcBEiAB9wgEQiR37BB58UX3oPBJJEACJKAIaCuSqk1S7Ssq1CtxTwIkQALuEdBWJK0I6utF7r7beoSfSYAESMAdAoEQSaC48053gPApJEACJGAlEAiR3LZNZN4862vxMwmQAAm4Q0BbkVRtkegnCYE8ftwdIHwKCZAACVgJaCmS1hfgZxIgARLIJgGKZDbp8tkkQALaE6BIam9CvgAJkEA2CVAks0mXzyYBEtCegG9Fsrq6WpYtWyaLFi2SqqoqOXfunPaw+QIkQAL6EfCdSO7du1d69uwrOTn9JS9vjvTp85h07z5CunfPE5zjRgIkQAJeEvCVSEIE27W7TIYPrzKnQlNdfYYNq5ZLL+1MofSydDAtEiAB8ZVIogZpJ5BWoUSN8tSpUzQdCZAACXhCwDciiTbI3NyBMTVIJZBqD9d78+bNnsBhIiRAAiTgG5FcsmSJ0QapxNBpjzZKBHO4kQAJkIAXBCiSXlBmGiRAAtoS8I1IJutu5+RcL2vWrNEWODNOAiSgFwHfiCSwJRO4adfuchkzZoysWrVKPv/8c71oM7ckQALaEfCVSKILUMeO3WTIEPsuQJdd1l1GjRol+fn5xt+kSZNk69at0tLSoh14ZpgESEAPAr4SSSCDUKKbT07OAOnd+0HJy3tYunYdanYmr6+vl7lz55pCCcF86KGHpLa2Vg/izCUJkIBWBHwnkqB3+vRpee6556Rfv37St29fw7WO7hu5fft2QU1S1SqxR1tlU1OTVgZgZkmABPxNwJciCWSoGSoBdKolok1y9erVMnHiRPNaCGdlZSVdcH+XO+aOBLQhoLVIKsp1dXUxLnhxcbHANedGAiRAApkQCIRIKgA7d+6McMFRwywpKZHm5mZ1CfckQAIkkBKBQIkk3hwuOLoHWV3woqIiRsFTKha8mARIQBEInEiqF4OrDZdbtWtiTxdc0eGeBEggWQKBFUkFAFHwKVOmRIglXXBFh3sSIIFEBAIvkgCAbkEQxmgXvKKiglHwRCWE50kg5ARCIZLKxu+//35MFBwd0RkFV4S4JwESiCYQKpFUL4+hjFOnTo1xwTkWXBHingRIQBEIpUji5SGI0S44OqLTBVdFg3sSIAEQCK1IKvPD1Z43b15ErfLRRx/lWHAFiHsSCDmB0Iuksv+WLVtiouAY8six4IoQ9yQQTgIUSYvdMTJn7dq1EVFwtF2iGxGnY7OA4kcSCBEBiqSNsTEWPLojOqPgNqB4iARCQIAiGcfImE3Ibjo2RsHjQOMpEggYAYpkAoNCEDFPZUFBgRncgXBiMg264Ang8TQJBIAARTJJIx45ckQQ9baOBYcL3tDQkOQTeBkJkICOBCiSKVotuiM6hjq21aJkt9xyi23unY7bXsyDJEACcQlQJOPisT+J5SXKy8sjXHBMx7Z79277G7J01EkMnY5nKRt8LAkEmgBFMgPzYix4dEf0BQsWCFxzLzYnMXQ67kWemAYJBI0ARdIFiyKIYx0LDhd8/fr1WV8X3EkMnY678Kp8BAmEjgBF0iWTnzlzRsrKyiJc8FFjR8mzG591KYXYx0AMnf5ir+YREiCBdAhQJNOhFueeY8eOGVHw4TcNl9z+ucbfsB8Ok73/szfOXemdcqoxOh1PLxXeRQLhJkCRzIL9W863yB1P3iE9hvWQnGtzpFP/TtLln7rIrIWz5NOTn7qWopMYOh13LWE+iARCRIAimQVjl+0uk/Grxssty2+REfeNkM4DOxtiiZrlVcOvktLyUoGQZro5iaHT8UzT4/0kEEYCFEmXrX7s5DGZ+OxEub3kdpmzcY40NDXIlj1bZEjhELNWCbEcOXmkvLb/tYxSdxJDp+MZJcabSSCkBCiSLht+4eaFMu6ZcYZI1vy1RiCa6m9Z+TLpPby3Wavs/N3OMnnuZPn0M/dccJdfh48jgdAToEi6WAQONhyU/FX5MnrlaFleudwURyWS2B/+6LDc/djdhgve6dpORmDn6hFXS8m/l7iYEz6KBEjALQIUSZdInj57Wmb8ZoaMLR0rE56dIO/97T1bkVSCWflmpQyaOCjCBUcU/KU9L7mUIz6GBEjADQIUSTcoisiGNzYYwZrbVt4mv3/z93EFUgkl9k/9+inJG5VnuuCIgk95ZIp8+LcP5dSpU8YkwBMmTJDhw4fLE088IUePHnUpx3wMCZBAMgQokslQSnANxK5wTaGMKR0jszbMMoI1ViFM9NlwwR+5WzoP6CzKBe8xqId0zOkoXbp0kWuuuUYGDBggvXr1kvbt2xuLlSXIEk+TAAm4RIAi6QLIFS+tMIM1e97bk3QtMlo8DRe84CsX/OJvXyy9eveSm2++OWJUzaBBg6RDhw7y8ccfu5BzPoIESCARAYpkIkIJzu87us/s8rNwy8K0BdIqmD9Z8hP51kXfihFIdO3B35VXXimlpaUJcsbTJEACbhCgSGZAER3CZ5bPNII1d/7yTnn7o7ddEclVv1olPa7sEVGDVAKJfZ8+fWTy5MkZ5Jy3kgAJJEuAIpksKZvrEKxBlx8Ea377xm9dEUjUKH/3H7+TK7pd4SiSV111lcyYMcMmRzxEAiTgNgGKZJpEG081SsEvC4xO46hNYmSN1WXO5PPRT45Kx+90lBtuuCFGKG+66SZp166dDB061JiODRMAcyMBEsgeAYpkmmyX/nmpjH9mvNz681sF7ZKZiKLdvSt+sUIu/oeLZfDgwaZQ3njjjdKtWzfp1KmTjB8/3lhvZ/r06caiZGm+Bm8jARJIQIAimQCQ3enaD2vNkTVuBWuihfLHj/9Y2ndpL9/81jelw7c7SG5urhHVhii+8847tjOiY5o2biRAAu4SoEimyPPMuTNGsGZc6ThjZM2hTw65XovctmebdB3Y1RiyODh/sOw/sF927dol0a41ZkSfMmWKuYKjmhE9+roUX5GXkwAJWAhQJC0wkvm4cd9Gc2RN+evlrgskapTX519vdCrHBBiv1LwSN1tYFxxLRUAg1XK3dMHjIuNJEkiJAEUyBVzH/++4ObIGbZEHPjjgukguXbfUHKJYNLco6dw5LUpGFzxphLyQBGwJUCRtsdgffP/T9w2RxFRoo0tGG6Ns1u1e51pk+y+f/MUYx42ZzPOG58mHH39on5E4R+mCx4HDUySQBgGKZIrQ0PUHc0aifyRm/EEfyXvL7pUddTsyrlXe/6/3m7XIp371VIo5u3A5XfALLPiJBDIlQJFMkyDmjpz+6+lG+yRmIYf7vfi/Fsu7H7+bllhWvVUlXa/7Kljz/fzvy5mzZ9LM2YXb6IJfYMFPJJAuAYpkuuREBJHuP+3/0wUXfOVoI+KNqdJS7Vw+atIoM1jz8hsvZ5Cr2FujXfCCggLZsGFDTLQ89k4eIQESoEi6UAYQ0EEtMtoF33V4V1K1yqVlF4I1d/zzHS7kKPYRTi54TU1N7MU8QgIkYBKgSJooMv+AkTdTX5ga4YKjs3m8vpTv/vVd6XlDT2PZWaykePzE8cwzEucJcMEfffRRs7sQug0tWLBAGAWPA42nQk2AIumy+eGCoy8lxnUbUfCVowUzBDm54Pc8cs+FYM3z6QdrUn2N7du3R3REpwueKkFeHxYCFMksWRqdwqNdcEyEYV1Bced/75QuA7sYI2uuG3udK8GaVF4HLvjq1atjOqLTBU+FIq8NOgGKZJYtvPPwzogoOCLhT//5aTnaeFSGFg41gzWVuyqznBPnx9u54EuXLqUL7oyMZ0JEgCLpgbExOS+GME58dqLpgg968KtlGnL758oPZv7Ag1wkToIueGJGvCJ8BCiSHtocLviCigUyZtkYuWLQFUawpueQnmmNrMlWtu1c8JkzZ8q+ffuylSSfSwK+JkCRbAPzzFkwR3oM7GG0RT7lYbAmlVdtaGiQ+fPnR0TBFy9eLMePZzf6nkoeeS0JeEGAIukFZUsadXV1RqBk3PhxUjS9yPNgjSUrSX3cu3evFBUVmWKJKHhZWZmcOZP5iKCkMsCLSKCNCVAkPTYA+iSqKc1qa2s9Tj295Jqbm2XFihVmvpF/zGPJKHh6PHmXXgQokh7aa/fu3abQQHR021ALfuihh8x3gFguXLiQUXDdDMn8pkSAIpkSrvQvxmzhU6dONQQG7mtTU1P6D2vjO7du3RrhgmPC37Vr1wqCPtxIIGgEKJIeWRTteMrNrqxsuz6Rbr0uBBHvZJ0RHeJfXV3tVhJ8Dgn4ggBF0gMz1NfXm2ICd7WlpcWDVL1JAu82d+5c8wcAPwQYG37kyBFvMsBUSCDLBCiSWQaMxxcXF5siAlEJ4ob2VuuiZBBLtLvq3KwQRDvxnVInQJFMnVlKd2AUi3KzMdQvyBvaXdesWWPWmvHehYWFUlFREajac5BtyHeLJUCRjGXi2hGIBlYuhFigva6xsdG1Z/v5QeiIHj0d2wMPPCBBrUX72RbMW+YEKJKZM3R8AiK+qhaJGmXYNryziuiDA4I85eXl7IgetoKg+ftSJLNkQAQuMDoF4oA2ySAFa1JBhpE5WCrCGgVH7RojebiRgA4EKJJZspK107UuI2uyhMJ4LH405s2bZ9as8ePBGdGzSZzPdosARdItkpbnYOEt5WZjUltuFwigBhntgoMRO6JfYMRP/iJAkXTZHnAvVbBm0qRJ/PLb8FUd0VVzBH5QENgKQid7m9flIc0JUCRdNiDa31QtEsP3uDkTwLRr0S44mikYBXdmxjPeE6BIusgcX25VOwrayBoXMcU8Cs0TmNhX/bhgTxc8BhMPtBEBiqSL4K0jaxisSQ0sov/RY8ExggfdiMLaMyA1grw6WwQoki6RhWutakIM1qQPFR3RMQO6Yok9auVYrIwbCbQFAYqkC9QxskaNW2awxgWgInLw4EHBKB0lluhnSRfcHbZ8SmoEKJKp8bK9ev369eaXmcEaW0RpHcSPD9hi/LcSS/wYoQ2TGwl4RYAimSFpRGgZrMkQYoLbwRiTgyihxB5RcbrgCcDxtCsEKJIZYsTyBfjSwh3klzZDmAlux4S+qllDMUdNkx3RE4Dj6YwIUCQzwGedBo3BmgxApnArOutv2rSJLngKzHhpZgQokmnyQ3uZGl6H2g1rM2mCTPO2Y8eOxXREpwueJkzeFpcARTIuHueT1mBNGKdBcybj7RmMBZ8xY4bZXolmD7rg3tog6KlRJNOwMNoeGaxJA1yWbkFnc8zdaZ2OjVHwLMEO4WMpkmkYff78+QzWpMEt27fgxyu6Izpd8GxTD/7zKZIp2hjuneqKwmBNivA8unzfvn1mezGj4B5BD3AyFMkUjItgjZqIgcGaFMC1waXsiN4G0AOaJEUyBcNiJUBVi2SwJgVwbXgpOqJHL0rGGdHb0CAaJk2RTNJomHhBBQY4DVqS0Hx0GX7U1GTIVhccNU5uJBCPAEUyHh3LOdQ+1JeLI2ssYDT66LQoGceCa2TENsgqRTIJ6DU1NaabzWBNEsB8fgl+5KJnRKcL7nOjtWH2KJIJ4KP2wWBNAkiankZPBbux4HTBNTVolrJNkUwA1rpmDYM1CWBpeLq5uVkQkFPtzWhSQdslXHDOiK6hQbOQZYpkHKhwyzCJLr44DNbEARWAUxgLHh0Fnzt3LhclC4BtM30FimQcghBGBmviAArgqWgXHPbnWPAAGjqFV6JIOsCCu4UviPqSOFzGwwEkgBmdIIxWFxxtl2huoQseQIMneCWKpA0gNNyrPnUcWWMDKCSH7KLg8C64LnhICsDXr0mRtLF3eXm5WYtkHzobQCE7hDJgjYLDu0BXsMbGxpCRCOfrUiSj7I6Cr6ZBQ186biQAAnYuOCZdpgse/PJBkYyyMdesiQLCfyMIwAWPjoLjf7rgEZgC9Q9F0mJO68gaNNxzIwEnAqhBWl1wBHkw8W9TU5PTLTyuKQGK5NeGix5Zw1EXmpZoD7MNFxxtk9YoeFFRkVRUVDAK7qEdsp0URfJrwqg5qi4/DNZku9gF6/l2Ljg6ouM4N/0JUCRFBKMtVG0A7UvsC6d/wW6LN7BzwVHT5EqabWEN99KkSIqIdRo0NsC7V7jC+CQ7FxxDW6urq/njq2mBCL1IWkfWYKIDbiTgBgE7F7y4uFjq6urceDyf4SGBUIukNViDETZ0izwseSFJKtoFR7t3SUkJy5pG9g+1SFqDNZjYgBsJZIOAkwteWVlJFzwbwF1+ZmhF0hqswVrN3Egg2wTsXHBEwY8cOZLtpPn8DAiEViStwRoIJjcS8IrA1q1bzXlK4X6jZwXawzkW3CsLpJZOKEXSGqzBZBbcSMBrAnYueGFhoUBA2QXNa2vETy90IonCqYaTYYICBmviFxCezS4BRLujx4JjOrba2trsJsynJ00gdCLJYE3SZYMXekgg2gVX07FxLLiHRnBIKlQiiYZzNbKG06A5lAgebjMCdi44p2NrM3OYCYdKJNVayxDKhoYGEwI/kICfCMAFR8dzNZcA9pwRve0sFBqRtAZrMKUVNxLwOwH0o1SrdSrBRBSc7ejeWi4UIslgjbeFiqm5RwBlF8KoZsuHWEI48aPPKLh7nOM9KRQiaQ3WoHBxIwHdCKDDuV0UnM1G2bdk4EXSGqzB0gzcSEBnAoiCI5ij3G+0r69atYoueBaNGniRVMEauCv81c1iSeKjPSOAWfMxCMLqgmNG9N27d3uWhzAlFGiRtAZrNmzYECa78l1DQABekqoEqJolhttyLLi7xg+sSEYHa7hmjbsFh0/zDwFUBqJdcLTDMwrujo0CK5LWYA3dEHcKC5/iXwKYG7WsrCzCBcfwW5b9zG0WSJG0Bmvmz5/PrhKZlxM+QRMCmNEqOgqO7wBnukrfgIEUSdVOw2BN+gWDd+pNADXIGTNmRETB0S7PZqfU7Ro4kbQGaziyJvUCwTuCQwAu+KZNmyJccLRd0gVPzca+FslBowbJ90Z+T57e8LRseGNDwr8XXnlBRo4dadyD/fpd6x3vaf6yOTVSvJoENCWA5if0EVYRcOwxGz+j4MkZ1Lci+eKOFyW3f67xN+qxUTLumXEJ//rf1d+8Z8iDQxyvH79qvCGeySHiVSQQDAL79u2LiIJDLLkueGLb+lYk/7j9j4bg5VybI0MfHiq3/vzWuH8jnxwpnb7bSXD91flXx70WgouaKTcSCBsB1REds6CrmiVccC6E51wStBDJ5//zeTl28ljE32dffGa8VdMXTcbx2f8yW269/VYZd8c4OVB3IOJa670QW4qkc4HgmXAQQLRbBTiVWCIKXl9fHw4AKbylliIJgcQ8Ffn5IhiJtefNPYZAQiRXP7/aUSAhlhTJFEoHLw08AdQgo6PgCHj6pSP6oUMi8+aJFBSIPPecSFOT9ybRUiS/PPul/OxnIitWiLF/bc9rhkhOvmeyvHfsPYqk9+WIKWpMQHVEV7P2o2aJseDbt29v07f64AORadNEampEWltFTp4U+elPRbZt8zZbWorkuXOtxi/L3/8u8sPCVjl9+qzcPu52qXy1Mq5AsibpbeFianoRgAuullpWLjj+bysXHBWhqqpIho2NIqWlkcey/Z92Iok2yL2vn5elS0XOnj0rCxe2SuVLzfLCb15IKJAUyWwXJz4/CATQ13j69OlmYAeCiYl/ve6IftddIqgItfWmnUjC1Yab/fLLX6HDL83y5a1y4uQJimRblyamHxgCmPV848aNYo2CYyy4ly74xIn+wKmdSJ4/3yr4hUHQRv0VForguDWK7fSZgRt/FDzmQg8CWNIWi5Ap9xt7/O/FWPCiIpHTp2M52R2Lvcq9I1qJ5InPT8jrb5yX+fMjATzxhMjrr7eK6g7kJJB0tyO58T8SSJYAapCoSSqxRJAn24uSrVwZ2yZ55IjIffclm2t3rtNKJL8484WUlLbK9h2nZdHiRUZE+62Db8mrr7ZKSYnIl2e+TFibZE3SnYLDp4SPANokMQWh3Yzo2ViU7OhRkSlTRPbv/4o1VoF+4AGRrVu9Za+VSJ5raZFp01qkqekzuW3MbTJrzixpONEgLefPy7RprYLz8WqRrEl6W7iYWjAJHD9+XNDxXNUqscf0bNmIgkMgZ88WQfvkvfeKVFR4z1QrkYTIfXriU0Mg0eWn5n9rTFFsOZ9YICmS3hcwphhcAoiCR68L7qeO6G6R10ok/7DlD+bImtI1paZAJqo9Ws/T3Xar6PA5JCDS3NxsTJIR3REdqzpmwwVvC+baiOShhkPyo6IfGSI5oWCCvH3kbYpkW5QYpkkCNgSwEmm0C15cXByI6di0Ecnlzyw3a5Hlm8rTEki62zalm4dIwEUCcMGjo+CYjq0RQ2U03XwrkgtXLJQOnTtIu07tZNqcaTJ67GhDJFWwxupCp/KZ7ramJZXZ1oaAioJbAztou6yuro5xwXFs2bJlsmjRIqmqqpJz58757j19J5KYlaRnz77yj5f3lV69HpS8vIfl8o7XySWXXC6DhwyWPfv3pF2LZE3Sd+WPGQowgbq6OtuO6LW1tcb8lfie5+T0l7y8OdKnz2PSvfsI6d49z3dzW/pKJCGQ7dpdJsOHV5mjadSommHDquWSSzrK5qrNFMkAf7H4asEjgCAOZhVSNcsRI0bIRRd1cPyeX3ppZ18Jpa9EEr8sdgJpFcquV/SS+o/q0xZKutvB+xLyjfxPAPNTYoQOouDt239HhgypjKkIWb/nqFGeOnXKFy/mG5FE20Ru7kBHcApgbufBMvvJ2YLZytP5w1IQWDMHi4uh2s8/MmAZ8K4MLF++XC67rF/C7zlc782bN1MkrQSWLFlitE0oMXTao40SwRysZZPuHxYYwyqMqvrPfT5Z5JOBF9+Dfv36Se/eDyYUSbRRIpjjh803NclURLJ9bntzVUS1omKq++tHXU9hoDCwDHhcBiiSGch+su525y43yOP/9rhgNcVM/moO1NDVZnMDy4DHZWDdunWSkzMgYU2S7raDmCYTuPFTg67Da/AwCZBAHAK6fc99426DKboAdezYTYYMse8ClJvrvz5UccoCT5EACdgQ0O177iuRBE8ARG0RkW6/dzK1sT8PkQAJJEFAp++570QSfDGsCUOUEMxBhAtdAfzSZyoJ+/MSEiCBJAjo8j33pUgmwZeXkAAJkIAnBCiSnmBmIiRAAroSoEjqajnmmwRIwBMCFElPMDMREiABXQlQJHW1HPNNAiTgCQGKpCeYmQgJkICuBCiSulqO+SYBEvCEAEXSE8xMhARIQFcCFEldLcd8kwAJeEKAIukJZiZCAiSgKwGKpK6WY75JgAQ8IUCR9AQzEyEBEtCVAEVSV8sx3yRAAp4QoEh6gpmJkAAJ6EqAIqmr5ZhvEiABTwhQJD3BzERIgAR0JUCR1NVyzDcJkIAnBCiSnmBmIiRAAroSoEjqajnmmwRIwBMCFElPMDMREiABXQlQJHW1HPNNAiTgCQGKpCeYmQgJkICuBCiSulqO+SYBEvCEwP8DHiyTOIqiaFQAAAAASUVORK5CYII=)