Question

Given: AG and IC are common internal tangents of H and B. HI = 8, ED = 2, and EF = ED. What is the measure of AE?

Answer 1

AE = 6

This is because ABE is a right triangle with the right angle being angle BAE. We know that AB = 8 and EB = 10, so we can use the Pythagorean Thoerem to find AE.