Cho tam giác ABC có diện tích là 24 cm 2 .Trên BC lấy D sao cho BD = 3/1 BC. Tính diện tích tam giác ABD và diện tích tam giác ACD.
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
ta có:S tam giác ABD=ADxBD:2
S tam giác ADC=ADXDC:2
Vì BD=1/2 BC
=>BD=DC
=>S tam giác ABD=S tam giác ADC
=>s tam giác ABC=24x2
ABC=48(cm^2)
TICk mình nha!!
![](https://rs.olm.vn/images/avt/0.png?1311)
Vì BE=1313× BC mà ABE và ABC chung chiều cao hạ từ A
nên SABESABE=1313 ×=217,5 : 3 = 72,5(cm2)
⇒SADESADE+SBDESBDE=SABESABE \
⇒SADESADE= SABESABE-SBEDSBED
⇒SADESADE =72,5 – 14,55 = 57,95(cm2)
⇒ ADE và ABE chung chiều cao hạ từ E nên SADESABESADESABE=ADABADAB
⇒AB =SADESABESADESABE×AD=72,557,9572,557,95×8=10 (cm)
Cho tam giác ABC có diện tích 240 cm2. Trên BC lấy điểm D sao cho BD=3DC. Tínhdiện tích tam giác ABD. (ĐS cm2) là bài 3. Cho tam giác ABC có diện tích là 400 cm2. Điểm M trên AC sao cho 2xAM=3xCM.Tính diện tích tam giác ABM. (ĐS: cm2) là bài 4. Cho tam giác ABC có diện tích 720 cm2. Trên BC lấy M sao cho BM=1/2 CM. NốiAM , trên AM lấy N sao cho AN=3NM. Tính diện tích tam giác ABN. (ĐS: cm2) là bài 5 nhá các bạn. mình quên cách ra
![](https://rs.olm.vn/images/avt/0.png?1311)
Lời giải:
Ta có:
$\frac{S_{ABD}}{S_{ABC}}=\frac{BD}{BC}=\frac{BD}{3\times BD}=\frac{1}{3}$
$S_{ABD}=\frac{1}{3}\times S_{ABC}=\frac{1}{3}\times 21=7$ (cm2)
![](https://rs.olm.vn/images/avt/0.png?1311)
Xét hai tam giác ABD và ACD :
- Chung chiều cao hạ từ đỉnh A xuống DC
- BD = 3/5 DC
=> SABD = 3/5 SACD = 90.3/5 = 54 ( cm2)
Đáp số : 54 cm2
Lời giải:
$\frac{S_{ABD}}{S_{ABC}}=\frac{BD}{BC}=\frac{3}{1}=3$ (do cùng chiều cao hạ từ A)
$\Rightarrow S_{ABD}=3\times S_{ABC}=3\times 24=72$ (cm2)
$S_{ACD}=S_{ABD}-S_{ABC}=72-24=48$ (cm2)
Hình vẽ:
![](data:image/png;base64,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)