Question

PLEASE HELP ME WITH THIS MATH PROBLEM!!!!

Answer 1

Hello!

BC // AB => Thalès

AB/AC = AE/AD = BE/CD

3/(3+8) = AE/(AE+10)

3/11 = AE/(AE+10)

3/11 = AE/(AE+10)

3/11 * (AE+10) = AE/(AE+10) * (AE+10)

(3AE + 30)/11 = AE

(3AE + 30)/11 * 11 = AE * 11

3AE + 30 = 11AE

30 = 11AE - 3AE

30 = 8AE

AE = 30/8

AE = 3.75

AE ≈ 3.8

The answer is AE = 3.8