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:

$BC=22\ units$

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal interior angles

In this problem

Triangle ABC is an isosceles triangle

because

∠B≅∠C

therefore

AB=AC

substitute the values

$x-2=2x-24$

Solve for x

$2x-x=24-2$

$x=22$

Find the length of side BC

$BC=x$

substitute the value of x

$BC=22\ units$