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the base of a triangle is 4m more than its height.if the area of the triangle is 30sqm,find the length of the base & the height of triangle?
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- PuzzlingLv 77 months ago
Height is 6m
Base is 10m
We can solve it as follows:
Let h be the height.
Let h+4 be the base
Area = ½bh
30 = ½(h+4)h
60 = h² + 4h
h² + 4h - 60 = 0
(h + 10)(h - 6) = 0
h = -10 or h = 6
Clearly we can't have a negative height so the height is 6m and the base is 10m.
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