SOLUTION: In right triangle QRS, m∠Q = 90°, RS = 13 units, and RQ = 5 units. What is the area of ΔQRS in square units?

Algebra ->  Parallelograms -> SOLUTION: In right triangle QRS, m∠Q = 90°, RS = 13 units, and RQ = 5 units. What is the area of ΔQRS in square units?       Log On


   

Question 1070143: In right triangle QRS, m∠Q = 90°, RS = 13 units, and RQ = 5 units.
What is the area of ΔQRS in square units?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find SQ using the Pythagorean theorem,
RQ%5E2%2BSQ%5E2=RS%5E2
5%5E2%2BSQ%5E2=13%5E2
SQ%5E2=169-24
SQ%5E2=144
SQ=12
So,
A=%281%2F2%29bh
A=%281%2F2%29%28SQ%29%28RQ%29
A=%281%2F2%29%2812%29%285%29
Multiply that out for the final answer.