Question

Bonus: Find the measure indicated. *

10 points
Use the diagram shown. BD is the perpendicular blsector of AC.
AD is 10 Inches long. BD is 6 inches long. Find the length of AC.
D
A
B
AC =
in.

Answer 1

AC = 16 in.

Explanation:

AD = CD = 10 in.

BD = 6 in.

AC = 2(AB) = ?

Apply pythagorean theorem to find AB

AB² = AD² - BD²

Substitute

AB² = 10² - 6²

AB² = 64

AB = √64

AB = 8

Therefore:

AC = 2(AB) = 2(8)

AC = 16 in.