Two equal sides of a triangle are each 5 metres less than the twice the third side. If the perimeter of the triangle is 55 metres, find the length ...

Class 8 question

Answer: The sides are 13, 21, & 21 meters

Step-by-step explanation:

Let x represent the length of the base. Then the congruent side lengths are 2x - 5.

Perimeter is the sum of the sides so

(2x - 5) + (2x - 5) + (x) = 55

5x - 10 = 55

5x = 65

x = 13

The length of the base is 13 meters.

The congruent side lengths are 2 (13) - 5

= 26 - 5

= 21