document.write( "Question 722681: How to find the area of the shaded region in a triangle if: You know that the triangle is composed of two smaller triangles. And, the first small triangle has the base of 5 and you don't know the height. You just know that the other side of the triangle measures 8. And the second smaller triangle has a base of 4....? \n" ); document.write( "

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How to find the area of the shaded region in a triangle if: You know that the triangle is composed of two smaller triangles. And, the first small triangle has the base of 5 and you don't know the height. You just know that the other side of the triangle measures 8. And the second smaller triangle has a base of 4....?
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document.write( "Use the Pythagorean theorem on the right triangle on the left to find h:\r\n" );
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document.write( " c² = a² + b²\r\n" );
document.write( " 8² = 5² + h²\r\n" );
document.write( " 64 = 25 + h²\r\n" );
document.write( " 39 = h²\r\n" );
document.write( "√39 = h\r\n" );
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document.write( "Now that we have the height, we can find the area.\r\n" );
document.write( "The whole base of the whole big triangle is 5+4 or 9\r\n" );
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document.write( "A = ·b·h\r\n" );
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document.write( "A = ·9·√39\r\n" );
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document.write( "A = 28.10249099  [Round to the number of decimal places your\r\n" );
document.write( "                  teacher asks you to]\r\n" );
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document.write( "Edwin

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