Latest general Aptitude Question SOLUTION: If one side of a right-angled triangle is one less than the other and the hypotenuse is twice the shorter side, find the lengths of all sides of the triangle

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(#M40009777) GENERAL question Keep an EYE

If one side of a right-angled triangle is one less than the other and the hypotenuse is twice 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 be "x"
The other side is (x-1), and
Hypotenuse is 2x-2
USING PYTHOGOREOUS THEOREM
x^2+(x-1)^2=(2x-2)^2
x^2+x^2+1-2x=4x^2+4-8x
Simplifying this we get the Quadratic equation:
x^2-3x=3/2
solving this we get the value of 'x' AS (3+sqrt3)/2
the other side is less by 1, and hence the side is (1+sqrt3)/2
and the hypotenuse is 1+sqrt3(2 times the shorter side

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