Answer:
18 units.
Step-by-step 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:
[tex]8x-4=5x+11[/tex]
[tex]8x-4+4=5x+11+4[/tex]
[tex]8x=5x+15[/tex]
[tex]8x-5x=5x-5x+15[/tex]
[tex]3x=15[/tex]
Let us divide both sides of our equation by 3.
[tex]\frac{3x}{3}=\frac{15}{5}[/tex]
[tex]x=5[/tex]
To find the length of side BC we will substitute [tex]x=5[/tex] in the expression given for side BC.
[tex]BC=4x-2[/tex]
[tex]BC=4*5-2[/tex]
[tex]BC=20-2[/tex]
[tex]BC=18[/tex]
Therefore, the length of side BC is 18 units.
