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    Draw a triangle with sides 3, 4 and 5 and inside draw the largest square that will fit. What is the area of the triangle and the area of the square?????

    is it a 90 degrees triangle or amy shaped triangle?

    a triangle with sides 3,4,5 is a right-angle triangle: so the area = 6

    see attachment:

    u know that the area of the 2 triangles and the square = the area of the large triangle:
    6 = x² + ½ . x . (3-x) + ½ . x . (4-x)
    6 = x² + 3/2 x - ½x² + 2x - ½x²
    6 = 7/2 x
    x = 12/7

    max area of the square = (12/7)²
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Updated: February 25, 2006

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