Maths · Area of triangles using determinants
The perimeters of two similar triangles is in the ratio The sum of their areas i
The perimeters of two similar triangles is in the ratio \( 3: 4 . \) The sum of their areas is 75 sq. cm. Find the area of each triangle in sq. cm.
- A. 30,45
- B. 27,48
- C. 25,50
- D. None of these
Step-by-step solution
For similar triangles, the ratio of areas equals the square of the ratio of corresponding sides (or perimeters). Given perimeter ratio 3:4, area ratio is 9:16. Let areas be 9k and 16k. Their sum is 25k = 75, so k = 3. Thus areas are 27 and 48 sq. cm.
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