Question

The perimeter of an isosceles triangle is
138 ft whose one of the equal sides is 4 greater than the 2 times of other side. Find the sides of the triangle.

• A. 26, 56, and 56
• B. 24, 57, and 57
• C. 20, 59, and 59
• D. 38, 50, and 50

Answer 1

The correct option is A 26, 56, and 56

Let's assume that one side of the triangle is x.

So, one of the equal sides = 2x + 4
Therefore, third side = 2x + 4
Given, perimeter = 132 ft

$\therefore$ x + 2x + 4 + 2x + 4 = 138
$\Rightarrow$ 5x + 8 = 138
$\Rightarrow$ 5x = 138 - 8
= 130
$\Rightarrow$ x = $\frac{130}{5}$
= 26 ft

Sides = x, 2x + 4, 2x + 4
= 26, 56, 56

$\therefore$ The length of sides of the traingle are
x ft, 2x + 4 ft, 2x + 4 ft i.e., 26 ft, 56 ft, and 56 ft.