Question

Corresponding sides of two similar triangles are in the ratio 2 : 3. If the area of the smaller triangle is 48cm², find the area of the larger triangle.

Answer 1

Step-by-step explanation:

Given, ratio of corresponding sides of two similar triangles =2:3 or

3

2

Area of smaller triangle =48cm

2

By the property of area of two similar triangle,

Ratioofareaofbothtriangles=(Ratiooftheircorrespondingsides)

2

⇒

ar(largertriangle)

ar(smallertriangle)

=(

3

2

)

2

⇒

ar(largertriangle)

48

=

9

4

⇒ Area of larger triangle =

4

48×9

=12×9=108cm

2