Question

The ratio of areas of two similar triangles is 9:64 find the ratio of their corresponding sides.

Answer 1

Answer:

3/8

Step-by-step explanation:

Let the two similar triangles be ABC & PQR.

GIVEN :- Ar ( ABC ) : Ar ( PQR ) = 9 : 64

We Know That : Ratio of areas of two similar

triangles is equal to square of

ratio of its corresponding sides.

=> Ar ( ABC ) : Ar ( PQR ) = ( AB )² : ( PQ )²

=> ( AB )² : ( PQ )² = 9 : 64

=> AB : PQ = sq.root 9 : sq.root 64

Therefore , AB : PQ = 3 : 8