Question

two triangles are similar and the ratio of their corresponding sides is 6:9 . Area of smaller triangle is 48 cm² , Find the area of larger triangle ​

Answer 1

Answer:

ANSWER

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