ABC is an isosceles triangle. Z A is the vertex angle, AB = 4x – 14 and AC = x + 10. Find the length of one of the legs. The length of one of the legs is ...

Question

asked Nov 10, 2022 30.0k views

1 Answer

Levin Varghese · Answer 1 · 2022-11-14T12:15:02+0000

Answer:

18 units

Explanation:

A picture of what it would look like is at the bottom.

You know that the legs are equal because it's isosceles, so AB = AC. This means:

$4x - 14 = x + 10\\3x - 14 = 10\\3x = 24\\x = 8$

using the rules of solving an equation.

The length of one leg is:

$x + 10\\8 + 10\\18$