Question

triangleABC ~ triangleDEF and their areas are 64cm square and 121 cm² respectively. Then find the ratio of Corresponding sides.​

Answer 1

Given Information,

• ∆ABC ≈ ∆DEF
• Ratio of their areas is 64 : 121

We know that,

Square of the ratio of lengths of corresponding sides gives the ratio of areas of the similar triangles under consideration.

Mathematically,

Ar(ABC)/Ar(DEF) = ( AB/DE)² = (BC/EF)² = (AC/DF)²

According to the given Question,

Ar(ABC)/Ar(DEF) = 64/121

$\longrightarrow$ (AB/DE)² = (8/11)²

$\longrightarrow$ AB/DE = 8/11

$\longrightarrow$ AB : DE = 8 : 11

Therefore, the ratio of their sides is 8 : 11.

Answer 2

triangleABC ~ triangleDEF and their areas are 64cm square and 121 cm² respectively. Then find the ratio of Corresponding sides.​