Question

The perimeter of a triangle is 90 centimeters. If two sides are equally long and the third side is 9 centimeters longer than the​ others, find the lengths of the three sides.

Answer 1

All three sides are 27 cm, 27 cm and 36 cm

Explanation:

Let the sides of that triangle are x, x, y cm.

Now as per statement of the question two sides are equal and third side is 9 centimeters longer than the others.

So y = x + 9

Now perimeter of the triangle is 90 cm

so x + x + y = 90

Now we replace the value of y from the equation given above

x + x + ( x + 9) = 90

3x + 9 = 90

3x = 90 - 9

3x = 81

x = 27 cm

Therefore, all three sides of the triangle are 27 cm, 27 cm, 36 cm

Answer 2

sides are 27 cm , 27 cm, 36 cm

Explanation:

perimeter of triangle = 90 cm

let the unknown side be x

2x + x + 9 = 90 cm

3x = 81

x = 27 cm

two sides are 27 cm each.

and third side is 36 cm.

sides are 27 cm , 27 cm, 36 cm