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The base of a triangle is 3 cm greater than the height The area is 14 cm2 Find the height and the length of the base?
Wiki User
∙ 14y ago
Assuming the triangle is isosceles:
Height is x. Base is x + 3
Area of one half of the triangle:
0.5 * height * half of base = 0.5 * x * (0.5(x+3)) = 0.5*x*(0.5x + 1.5) = 0.25x2 + 0.75x
Whole area:
2 * (0.25x2 + 0.75x) = 0.5x2 +1.5x
Area = 14:
14 = 0.5x2 + 1.5x
0.5x2 +1.5x - 14 = 0
which is the same as x2 + 3x - 28 = 0
which is the same as (x + 7)(x - 4) = 0
Therefore possible values of x are +4 or -7. Negative values are impossible in this instance therefore x = 4.
Hope you follow ok :).
Wiki User
∙ 14y ago
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i can
