Question

any one of the following questions​

Answer 1

Answer:

1) It is given that, both the triangles are similar.

Let, a,b,c be the sides of larger triangle corresponding to the sides of smaller triangle.

So,

We know,

$\frac{perimeter \: of \: larger \: triangle}{perimeter \: of \: smaller \: triangle} = \frac{each \: side \: of \: larger \: triangle}{each \: corresponding\: side \: of \: smaller \: triangle}$

So, Using it,

$\frac{90}{4 + 5 + 6} = \frac{90}{15} = \frac{a}{4} = \frac{b}{5} = \frac{c}{6}$

Solving the above equation we get,

a=24 cm

b=30 cm

c=36 cm

Hence, The sides of larger triangle corresponding to the smallest triangle are 24cm, 30 cm and 36 cm respectively.