Respuesta :

Angle opposite to the equal side of the triangle is always equal here we apply on the vice versa.Thus the length of BC is 17 units.

Given:

Angle B and Angle C are congruent.

The length of the side AC is labeled as x plus 9.

The length of the sides AB is labeled as 2x minus 8.

The length of the side BC is labeled as x.

We know that,

The angle opposite to the equal side of the triangle is always equal.

Therefore,

<B = <C

so

AB = AC

2x - 8 = x + 9

2x - x = 9 + 8

x = 17.

Therefore the length of BC is 17 units.

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Full question:

What is the length of BC? Enter your answer in the box. units triangle ABC with horizontal side BC. Vertex A lies above side BC.Angle B and Angle c are marked congruent.The length of side AC is labeled as x plus 9.The length of side AB is labeled as 2x minus 8.The length of side BC is labeled as x.