# Triangle ABC is an isosceles triangle with vertex angle B, AB=5x-28, AC=x+5, and BC= 2x+11. How do you find the length of the base?

Nov 26, 2016

18

#### Explanation:

B is the vertex angle of isosceles triangle. So AB = BC and base side is AC.

As AB = BC

So, $5 x - 28 = 2 x + 11$

$5 x - 2 x = 28 + 11$

$3 x = 39$

$x = \frac{39}{3} = 13$

AC = $x + 5$ = 13 + 5 = 18