SOLUTION: The hypotenuse of a right triangle is 13 cm. One of the legs is 7 cm longer than the other leg. Find the area of the triangle.
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Question 326546: The hypotenuse of a right triangle is 13 cm. One of the legs is 7 cm longer than the other leg. Find the area of the triangle.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If the hypotenuse is 13 and the legs differ by 7, then the legs measure 5 and 12 (common Pythagorean triple). Use the Pythagorean Theorem ^2)
to verify (left as an exercise for the student)
In a right triangle, the area is simply 
where 
and 
are the measures of the legs. Hence: (12))
.
Do your own arithmetic (Cowboy up and do it in your head).
John
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