Question

17. Two equal sides of a triangle are each 5 metres less than twice the third side. If the perimeter of the triangle is 55 meters, find the lengths of its sides.
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Answer 1

Answer:

Two equal sides of a triangle are each 5m less than twice the third side. If the perimeter of the triangle is 55m . Find the length of its sides.

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.

Answered