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

What is ​ BC ​?Enter your answer in the box.-example-1

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Answer:

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.

User Sam Alba
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