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The height of a triangle is 8 meters less than the base the area is 10 meters what is the height and base?
Wiki User
∙ 14y ago
Let the height be x-8 and the base be x:
1/2(height)(base) = area
1/2(x-8)(x) = 10
Multiply both sides by 2:
(x-8)(x) = 20
Multply out the brackets:
x2 -8x = 20
Solve as an quadratic equation:
x2-8x-20 = 0
Factorize:
(x+2)(x-10) = 0
Solution: x = -2 or x = 10 The dimensions can't be negative so x must = 10
Therefore: height = 2 meters and base = 10 meters
Wiki User
∙ 14y ago
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