Question

Two equal sides of a triangle are each 5 metres less than twice the third side .1f the perimeter
of the triangle is 55m , find the length of two sides

Answer 1

Answer:

13

Step-by-step explanation:

Let the third side be x m.

Then the two equal sides are of length (2x−5) m.

Perimeter of triangle = 55 m.

⟹x+(2x−5)+(2x−5)=55

⟹5x−10=55

⟹x=13

Hence, the length of the triangle's sides are 13m, 21m and 21m.

Answer 2

Let the 3rd side be x m.

Other two sides = (2x-5) m.

According to condition,

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

or, 5x-10 = 55

or, 5x = 55+10

or, 5x = 65

or, x = 65/5

or, x = 13

So, x = 13 (3rd side)

2x-5 = (2×13)-5 = 26-5 = 21.

Hence, the length of two equal sides is 21 m and 3rd side is 13 m.