Question

Triangles ABC and DEF are similar If area (ΔABC) = 36 cm², area (ΔDEF) = 64 cm² and DE = 6.2 cm, find AB.

Answer 1

We have, Area (ΔABC) = 36 cm²

Area (Δ𝐷𝐸𝐹) = 64 cm²

DE = 6.2 cm

And, ΔABC ~ ΔDEF

By area of similar triangle theorem

`("Area"(triangleABC))/(Area(triangleDEF))="AB"^2/"DE"^2`

`rArr36/64="AB"^2/6.2^2`                  [By taking square root]

`rArr"AB"=(6xx6.2)/8=4.65` cm