¶ 1980 AHSME Problem 7
Problem:
Sides and of convex quadrilateral have lengths and , respectively; and is a right angle. The area of the quadrilateral is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
By the Pythagorean theorem, diagonal has length . Since , is a right triangle by the converse of the Pythagorean theorem. The area of is .