Question

Given: DC is a tangent of E. AE = 20 and DC = 9.

What is the measure of AC?

Answer 1

the answer is 41


if AE is 20, so AD is 40.

the measure of angle CDA is 90 degrees.

so we can get help from Pythagorean theorem :

`{x}^(2) = {40}^(2) + {9}^(2) \\ {x}^(2) = 1600 + 81 = 1681 \\ x = √(1681) = 41`



good luck