Latest general Aptitude Question SOLUTION: If one side of a right-angled triangle is two more than the second side and the hypotenuse is four more than the shorter side, find the lengths of all sides of the triangle.

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(#M40009776) GENERAL question Keep an EYE

If one side of a right-angled triangle is two more than the second side and the hypotenuse is four more
than the shorter side, find the lengths of all sides of the triangle.

Asked In general NAVEEN GUPTA (12 years ago)

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Sanjana Patnaik  (12 years ago)

Let one side of a right angled triangle is "x"
The other side is x+2 , and
the hypotenuse is x+4
Using Pythogoreous theorem:
x^2+(x+2)^2=(x+4)^2
Simplifying, we get the Quadratic equation
x^-2x=16
Using completing the square method
we get (x-1)^2=17
x=1+sqrt17
The other side is 3+sqrt17(2 more)
and the hypotenuse is 5+sqrt17

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