SSC CHSL 2021 PYQ — Question 63

The correct answer is Option 3 i.e. 35.

Given:

Perimeter = 91 cm

Base = $1{{1} \over 4}$ times each of the equal sides

Explanation:

Let the length of the two equal sides of the isosceles triangle be x cm each.

Then, Base = $1{{1} \over 4}$ × x = ${5\over 4}$x

Now, according to the given question,

Perimeter = x + x +  ${5\over 4}$x 

⇒ 91 =  ${13\over 4}x$

 ⇒ x = 28

Now, Base =  ${5\over 4}$x = 35 cm

Hence the required base is 35 cm.