document.write( "Question 259881: The hypotenuse of an isosceles right triangle measures 15 feet. Find the area. \n" ); document.write( "

Algebra.Com's Answer #191361 by Earlsdon(6294) $\"\"$ $\"About$

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The area of the triangle is given by:
\n" ); document.write( " $\"A+=+%281%2F2%29%28b%2Ah%29\"$ but in an isosceles right triangle, b = h, so we'll just say that b = x and h = x, so the area is:
\n" ); document.write( " $\"A+=+%281%2F2%29x%5E2\"$
\n" ); document.write( "Now to find x, we'll use the Pythagorean theorem where c (the hypotenuse) = 15 ft.
\n" ); document.write( " $\"15%5E2+=+x%5E2%2Bx%5E2\"$
\n" ); document.write( " $\"225+=+2x%5E2\"$
\n" ); document.write( " $\"x%5E2+=+112.5\"$ Substitute into the equation for the area:
\n" ); document.write( " $\"A+=+%281%2F2%29x%5E2\"$
\n" ); document.write( " $\"A+=+%281%2F2%29%28112.5%29\"$
\n" ); document.write( " $\"highlight%28A+=+56.25%29\"$ sq.ft. \n" ); document.write( "

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