Question

Two equal sides of a triangle are each 4m less than the 3 side if it is perimeter is 31m then the length of 3 side is

Answer 1

Answer

9m

Step-by-step-solution

Given

• sides of triangle are 4m less than 3'sides of triangle.

• Perimeter = 31 m

To find

• The length of third side = ?

Solution

Let the third side be x m

first side = (x - 4)m

second side = (x - 4)m

It's already given that perimeter of triangle is 31 m. From all these stories , we can infer that :

$\sf \implies \: x + (x - 4) + (x - 4) = 31cm$

$\sf \implies x + x - 4 + x - 4 = 31$

$\sf \implies \: 3x - 8 = 31$

$\sf \implies \: x = \dfrac{31 + 8}{3}$

$\sf \implies \: x = \dfrac{31}{3}$

$\sf \implies \: x = 13cm$

☆ Length of third side = (x -4)

=> (13-4) m

=> 9m

Whats up in the question ?

• Perimeter : Sum of all sides of a polygon