Question

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

Answer:13m,21 m,21m

Step-by-step explanation:

Given that two sides of a triangle are equal and these are 5m less than twice the 3rd side.

Let 3rd side length=x m

Then other two sides=(2x-5)m each

Now,

Perimeter of a triangle= sum of all sides

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

Or, 55=5x-10

Or,65=5x

Or,x=65/5=13m

Therefore third side=13m

And other two sides=2×13-5=21m