Question

∆ABC is an isosceles triangle such that AB=AC and AB:BC::13:11.if it's perimeter is 259 cm,then find the length of its sides[please solve step by step)

Answer 1

Answer:

here is your answer hope it helps you

Answer 2

Answer: 91cm, 91cm, and 77cm

Explanation:

Given, ∆ABC is an isosceles triangle such that AB=AC and AB:BC::13:11.

Let the side AB = AC = x

Let the side BC = 11/13 x

(Since  AB:BC::13:11, BC = 11/13(AB) )

x + x + 11x/13 = 259

2x + 11x/13 = 259

(26x + 11x)/13 = 259

(26x + 11x) = 3367

37 x = 3367

x = 3367/37

x = 91

Therefore, the sides AB and AC = 91cm

Side BC = 11x/13

              = 11(91)/13

              = 11(7)

              = 77cm

The sides of triangle ABC are 91cm, 91cm, and 77cm

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