Engineering Board Exam Reviewer · Solutions to Right Triangles · medium
The perimeter of a right triangle is 60 and its hypotenuse is 26. Find its area.
- 240
- 60
- 156
- 120
Answer
D. 120
Solution
The legs satisfy a+b=34 and a2+b2=676. Then 2ab=342-676=480, so ab=240 and the area is 12ab=120.
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