document.write( "Question 636726: The hypotenuse of a right triangle is 13 inches. Its perimeter is 30 inches. Find the length of the shortest side. \n" ); document.write( "

Algebra.Com's Answer #401188 by sachi(548) $\"\"$ $\"About$

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The hypotenuse of a right triangle is 13 inches. Its perimeter is 30 inches. Find the length of the shortest side.
\n" ); document.write( "ans:-
\n" ); document.write( "in the right triangle hypotenuse h=13 ,p is perpendicular & b is base
\n" ); document.write( "so h+p+b=30
\n" ); document.write( "or p+b=30-13=17 -----1
\n" ); document.write( "p^2+b^2=h^2=13^2=169 ------2
\n" ); document.write( "now (p-b)^2+(p+b)^2=2(p^2+b^2)=2*169=338
\n" ); document.write( "or (p-b)^2=338-(p+b)^2=338-17^2=338-289=49
\n" ); document.write( "or p-b=sqrt49=7----3
\n" ); document.write( "now solving 1 & 2 we get p=12 & the shortest one is b=5\" ans \n" ); document.write( "

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