document.write( "Question 907020: a triangle of largest size is inscribed in a Semi-circle. if the area of the triangle is 12.5 square metres , then find the radius of the semi-circle \n" ); document.write( "

Algebra.Com's Answer #550129 by josgarithmetic(39617) $\"\"$ $\"About$

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This triangle is half of a square shaped region (intuition from Geometry knowledge). The whole square region (if included both halves of the square) is $\"2%2A%2812.5%29=25\"$ square meters. Also, the diameter of the semicircle is 2r, if r is the radius. The height of the triangle is r. \r
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\n" ); document.write( "\n" ); document.write( " $\"%281%2F2%29%282r%29%2Ar=12.5\"$ , using formula for area of a triangle. The triangle is isosceles, 45-45-90 type.\r
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\n" ); document.write( "\n" ); document.write( " $\"2r%5E2=25\"$
\n" ); document.write( " $\"r%5E2=12.5\"$
\n" ); document.write( " $\"highlight%28r=sqrt%2812.5%29%29\"$ \n" ); document.write( "

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