Question

What is ​ BC ​?Enter your answer in the box.

Answer 1

18 units.

Explanation:

We have been given a graph of a triangle and we are asked to find the length of side BC.

We can see from our triangle that measure of angle B is equal to measure of angle C, which means that our given triangle is an isosceles triangle.

Now we will find the value of x by equating the side corresponding to angle B and C to each other as:

`8x-4=5x+11`

`8x-4+4=5x+11+4`

`8x=5x+15`

`8x-5x=5x-5x+15`

`3x=15`

Let us divide both sides of our equation by 3.

`(3x)/(3)=(15)/(5)`

`x=5`

To find the length of side BC we will substitute
`x=5` in the expression given for side BC.

`BC=4x-2`

`BC=4*5-2`

`BC=20-2`

`BC=18`

Therefore, the length of side BC is 18 units.