Question

The hypotenuse of a right triangle is 6 m more than twice the shortest side. If the third
side is 2 m less than the hypotenuse, find the sides of the triangle

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Answer 1

Answer:

let length of shortest side=x

Hyp.=(2x+6)m

third side=(2x+6-2)m=(2x+4)m

By pythagoras.

(2x+6)²=x²+(2x+4)²

x²-8x-20=0

x²-10x-2x-20=0

(x-10)(x+2)=0

x=10 or x=-2

sides of triangle can't be negative

so,x=10

length of shortest side=10m

length of hypotenuse=2x+6=2×10+6=26m

length of third side=2x+4=2×10+4=24m

Answer 2

Explanation:

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