Question

ΔABC is isosceles. AC = 2x - 7 and BC = 5x - 25.

What is the length of AC?
A. 3
B. 4
C. 5
D. 6

Answer 1

C

Explanation:

Since ΔABC is isosceles then BC = AC, that is

5x - 25 = 2x - 7 ( subtract 2x from both sides )

3x - 25 = - 7 ( add 25 to both sides )

3x = 18 ( divide both sides by 3 )

x = 6

Hence

AC = 2x - 7 = (2 × 6) - 7 = 12 - 7 = 5 → C