area minus perimeter
Geometry
Level
1
What is the numerical difference between the area and perimeter of the triangle shown above?
The answer is 7.5.
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1 solution
Relevant wiki: Pythagorean Theorem
By the pythagorean theorem, the other leg is 1 2 . 5 2 − 1 0 2 = 7 . 5 . It follows that the perimeter is 7 . 5 + 1 0 + 1 2 . 5 = 3 0 and the area is 2 1 ( 1 0 ) ( 7 . 5 ) = 3 7 . 5 . The desired answer is 3 7 . 5 − 3 0 = 7 . 5 .