Question

What is the length of BC¯¯¯¯¯ ? Enter your answer in the box. units Triangle A B C with horizontal side B C. Vertex A lies above side B C. Angle B and angle C are marked congruent. The length of side A C is labeled as 2 x minus 24. The length of side A B is labeled as x minus 2. The length of side B C is labeled as x.

Answer 1

Answer: The length of BC is 22 units.

Explanation:

It is given that the 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 2x-24. The length of side AB is labeled as x-2. The length of side B C is labeled as x.

If two angles of a triangle are same it means the triangle is an isosceles triangle.

Since the angle B and C are congruent therefore the lines AB and AC are same.

$2x-24=x-2$

$2x-x=-2+24$

$x=22$

Since the side BC=x therefore the measure of BC is 22 units.