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The hypotenuse of a right triangle measures 10 inches and one angle is $45^{\circ}$. What is the number of square inches in the area of the triangle?

 Aug 26, 2015
 #1
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The hypotenuse of a right triangle measures 10 inches and one angle is $45^{\circ}$. What is the number of square inches in the area of the triangle?

Sin(45)=Opposite side/Hypo

.707107...=OS/10

OS=.707107 x 10=7.07107

Since it's equilateral triangle, then the Adjacent side is the same as above=7.07107

Area=1/2(7.07107) x 10=35.35535....

 Aug 26, 2015
 #2
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The answer is 25.

 Dec 25, 2016

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