Question

Corresponding sides of two similar triangles are in the ratio of 2: 3. If the area

of small triangle is 48 sq.cm, then the area of large triangle is:

A) 230 . B) 106 .

C) 107 . D) 108 . ​

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

Step-by-step explanation:

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