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A lot is in the shape of a right triangle The shorter leg measures 150 meters The hypotenuse is 50 meters longer than the length of the longer leg How long is the longer leg?
Wiki User
∙ 14y ago
Pythagoras rules, OK!
Call sides a, b and c
a is given as 150 and c = b + 50 so 150^2 + b^2 = (b + 50)^2
ie 22500 + b^2 = b^2 + 100b + 2500 ie 100b = 20000 so b, the longer leg = 200 and c, the hypotenuse = 250.
These sides are in the ratio 3:4:5, the simplest Pythagorean triangle.
Wiki User
∙ 14y ago
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