# One side of an obtuse isosceles triangle is 17cm smaller than the other.

July 29, 2021 | education

| **One side of an obtuse isosceles triangle is 17cm smaller than the other. find the sides of this triangle if its perimeter is 77cm.**

In an obtuse isosceles triangle, the larger side will be the base opposite the obtuse angle. The other two corners are equal and must be sharp. Therefore, opposite them will be equal smaller sides.

Let’s denote the base by x, then the other two sides will be equal to x – 17.

Perimeter of a triangle:

2 * (x – 17) + x = 77;

2x – 34 + x = 77;

3x = 111;

x = 37 cm (base of the triangle).

The other two sides are equal x – 17 = 37 – 17 = 20 cm.

Answer. Triangle sides: 20 cm, 20 cm, 37 cm.

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