Question

the areas of two Triangles are 36cm and 169cm.The ratio of corresponding sides are_​

Answer 1

Answer:

Given the area of Δ

1

=169cm

2

and area of Δ

2

=121cm

2

Let longest side of the smaller triangle be x.

For two similar triangles, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

⟹

AreaofΔ

2

AreaofΔ

1

=(

LongestsideofΔ

2

LongestsideofΔ

1

)

2

Substituting the values, we get

⟹

121

169

=(

x

26

)

2

⟹

121

169

=

x

26

11

13

=

x

26

x=22cm

The longest side of smaller triangle is 22cm