document.write( "Question 1158593: .Find the radius of the largest circle that can be drawn inside the right triangle that has
\n" ); document.write( "6-cm and 8-cm legs. \n" ); document.write( "

Algebra.Com's Answer #781573 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "For a right triangle, the area is half the product of the lengths of the legs. So the area of this right triangle is 24 cm^2.

\n" ); document.write( "The area of any triangle is also one-half the product of the radius of the circle and the perimeter of the triangle: $\"A+=+%281%2F2%29%28p%29%28r%29\"$

\n" ); document.write( "The hypotenuse in a right triangle with legs 6cm and 8cm is 10cm; the perimeter is then 24cm. So

\n" ); document.write( " $\"24+=+%281%2F2%29%2824%29%28r%29\"$
\n" ); document.write( " $\"r+=+2\"$

\n" ); document.write( "ANSWER: The radius of the inscribed circle (\"the radius of the largest circle that can be drawn inside the triangle\") is 2cm.

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