Answer:
The length of BC is, 17 units
Explanation:
Isosceles Triangle states that :
a triangle has two sides of equal length and has equal base angle.
From the given figure, we have
[tex]\angle C \cong \angle B[/tex] or we can say that angle C is equal to the angle B.
then, by the definition of Isosceles triangle,
AC = AB
[tex]x+9 = 2x-8[/tex]
Add 8 both sides of an equation:
[tex]x+9+8=2x-8+8[/tex]
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
