Problema Solution
In right triangle ACE below, BD is parallel to AE, and BD is perpendicular to EC at D. The length of AC is 20 feet, the length of BD is 3 feet, and the length of CD is 4 feet. What is the length, in feet, of AE?
Answer provided by our tutors
In right triangle ACE below, BD is parallel to AE, and BD is perpendicular to EC at D. The length of AC is 20 feet, the length of BD is 3 feet, and the length of CD is 4 feet. What is the length, in feet, of AE?
BD = 3
CD= 4
=> BC = 5
BC/AC = CD/CE
=>EC = 16
=> AE = SQRT(20^2 - 16^2)
=> AE = 12 feet