Two equal sides of isosceles triangle of a triangle are (5x+3) and (6x-7) find the value of x .if the value of x .if the perimeter of triangle 141 cm then find third side?

1 Answer
Jun 21, 2018

x= 10 cm

Third side of this Isosceles triangle is 35 cmenter image source here

Explanation:

In Isosceles triangle, two sides of triangle is equal as shown in the attached diagram.

That means 5x+3 = 6x-7

From above, we can find the value of x.

5x+3 = 6x-7

5x-6x = -7-3

-x=-10

x=10

Hence Two Equal sides of Isosceles triangle is 53 cm each.

Perimeter of Triangle is sum of length of all three sides of triangle.

Perimeter, p = a + b + c,

Given Perimeter,p=141

141 = 53+53 + c

141 = 106 + c

141-106 = c

c = 35

Therefore, third side of this Isosceles triangle is 35 cm