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A triangle has a hypotenuse of length 25 and a leg length of 15 what is the length of the other leg?
20 since the question mentions the hypotenuse, by definition this must be a right angled triangle, therefore use Pythagoras's theorem...
Let a be the unknown side....
Let b be the side of length 15 and...
Let c be the hypotenuse of length 25
From the theorem:
a^2 + b^2 = c^2 by substitution...
a^2 + 15^2 = 25^2 or...
a^2 = 25^2 - 15^2 or...
a^2 = 625 - 225 that is...
a^2 = 400 or...
a = SQRT 400 which is...
20
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9
