¶ 2009 AMC 12B Problem 13
Problem:
Triangle has and , and the altitude to has length 12. What is the sum of the two possible values of ?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let be the foot of the altitude to . Then and . Thus or . The sum of the two possible values is .
The problems on this page are the property of the MAA's American Mathematics Competitions