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The area of a right triangle is 44 m². Find the lengths of its legs if one of the legs is 3 m longer than the other.
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The area of a right triangle is 44 m². Find the lengths of its legs if one of the legs is 3 m longer than the other.

User Jobayer
by
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1 Answer

4 votes

Answer:


Lengths:8m and 11m

Explanation:

Area of a triangle is
(1)/(2)bh


44=(1)/(2) (x+3)(x)\\


44=(1)/(2) (x_{2 +3x)


88=x^(2) +3x


x^(2) +3x-88=0


(x+11)(x-8)=0


x=8


Lengths:8m and 11m

User Ammad
by
3.3k points
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