Question

The length of the base of an isosceles triangle is less by 3 cm than twice the length of its congruent sides. The perimeter of the triangle is 17 cm. Find the lengths of all sides of the triangle.​

Answer 1

Answer:

The answer is

Step-by-step explanation:

Solution

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Correct option is D)

Let the length of the base of an isosceles triangle be x cm.

Therefore, as per the given conditions,

Length of the congruent sides =2x−13 cm

Given, the perimeter of an isosceles triangle =24 cm.

Therefore, x+2x−13+2x−13=24

⇒5x−26=24

⇒5x=24+26

∴x=10

Base of a triangle =10 cm

Congruent sides =2x−13

=2×10−13=20−13=7 cm

Therefore, the length of sides are 7 cm,7 cm and 10 cm.

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