document.write( "Question 7114: Find the height of a right triangle whose base measures 10 cm and whose hypotenuse measures square root of 221 cm. \n" ); document.write( "

Algebra.Com's Answer #3916 by drglass(89) $\"\"$ $\"About$

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You are given one side of the triangle and the hypotenuse. You should also know that the sum of the square of the sides of a right triangle equals the hypotenuse squared.\r
\n" ); document.write( "\n" ); document.write( "If the sides of the triangle are a and b and the hypotenuse is h, the equation can be written:\r
\n" ); document.write( "\n" ); document.write( "a^2 + b^2 = h^2.\r
\n" ); document.write( "\n" ); document.write( "The problem tells us that one side, let's pick a for now, is 10 cm and the square of the hypotenuse is 221 cm. If we include these facts in the equation, we get,\r
\n" ); document.write( "\n" ); document.write( "10^2 + b^2 = 221, or\r
\n" ); document.write( "\n" ); document.write( "100 + b^2 = 221\r
\n" ); document.write( "\n" ); document.write( "Now, subtract 100 from either side to get\r
\n" ); document.write( "\n" ); document.write( "b^2 = 221 - 100 = 121\r
\n" ); document.write( "\n" ); document.write( "take the square root of either side to get\r
\n" ); document.write( "\n" ); document.write( "b = 11\r
\n" ); document.write( "\n" ); document.write( "b is the height of the triangle. \n" ); document.write( "

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