Question

The corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the smaller triangle is 48 sq.cm, then the area of the larger
triangle is
106 sa cm
107 sq cm
108 sq cm
109 sq cm

Answer 1

Answer:

108 sq cm

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