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evey
Lv 4
evey asked in Science & MathematicsMathematics · 1 decade ago

quick math question pleeeease?

the base of a triangle is 4 cm greater than the height. The area is 30cm^2. Find the height and the base of the triangle.

1 Answer

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  • 1 decade ago
    Favorite Answer

    A = 1/2 b h and b = h + 4 so

    A = 1/2 (h+4) h = 30

    h^2+4h = 60 or h^2 + 4h - 60 = 0

    this factors as (h+10)(h-6) = 0 so h = 6 is the only feasible solution

    b = h+4 = 10

    A = 1/2 (10)(6) = 30 QED

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