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application of Quadratic equations

Mathematics
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a triangular traffic island has a base half as long as its height. the island has an area of 196 m2. find the base and the height  

Mar 18th, 2015

Let h = height

then, base = 1/2h

Therefore,

(1/2)(1/2h)(h) = 196

1/4h^2 = 196

h^2 = 784

heihgt = 28 m

base = 14 m

Mar 18th, 2015

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