Question

corresponding sides of two similar tirangle are in the ratio of 2:3if the area of small triangle is 48 sqcm then the area of large triangle is​

Answer 1

Step-by-step explanation:

Given, ratio of corresponding sides of two similar triangles =2:3 or 32

Area of smaller triangle =48cm2

By the property of area of two similar triangle,

Ratioofareaofbothtriangles=(Ratiooftheircorrespondingsides)2

⇒ ar(largertriangle)ar(smallertriangle)=(32)2

⇒  ar(largertriangle)48=94

⇒   Area of larger triangle =448×9=12×9=108cm2

Answer 2

Answer:

k

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