Question

What is the length of BC? Enter your answer in the box.

Answer 1

the graph shows that angle C and angle B are congruent, that means AC=AB
x+9=2x-8
x=17

Answer 2

The length of BC is, 17 units

Step-by-step explanation:

Isosceles Triangle states that :

a triangle has two sides of equal length and has equal base angle.

From the given figure, we have

`\angle C \cong \angle B` or we can say that angle C is equal to the angle B.

then, by the definition of Isosceles triangle,

AC = AB

`x+9 = 2x-8`

Add 8 both sides of an equation:

`x+9+8=2x-8+8`

Simplify;

x+17 =2x

Subtract x from both sides of an equation:

x+17-x=2x-x

Simplify:

17 units = x

Therefore, the length of BC = x unit = 17 units