Question

Areas of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the larger triangle is 20 cm, then the length of the corresponding side of the smaller triangle is:( *
(A) 12cm
(B) 13cm
(C) 14cm
(D) 15cm​

Answer 1

Answer:

Given, area of smaller triangle =36cm

2

and area of larger triangle =100cm

2

Also, length of a side of the smaller triangle =20cm

Let length of the corresponding side of the larger triangle =xcm

By property of area of similar triangle,

ar(smallertriangle)

ar(largertriangle)

=

(sideofsmallertriangle)

2

(sideoflargertriangle)

2

∴

36

100

=

3

2

x

2

∴ x

2

=

36

100×9

∴ x

2

=25

∴ x=5cm

∴ Length of the corresponding side of the larger triangle Is 5cm

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