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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3
let base be x
h= 6+2x, p=2-(6+2x)
h^2=p^2+b^2
(6+2x)^2={2-(6+2x)}^2+x^2
36+4x^2+24x=16+4x^2+16x+x^2
x^2-8x-20
x^2-(10-2)x-20
x^2-10x+2x-20
x=10, x=-2
h=26or2
p=-24or0
b=10or-2
h= 6+2x, p=2-(6+2x)
h^2=p^2+b^2
(6+2x)^2={2-(6+2x)}^2+x^2
36+4x^2+24x=16+4x^2+16x+x^2
x^2-8x-20
x^2-(10-2)x-20
x^2-10x+2x-20
x=10, x=-2
h=26or2
p=-24or0
b=10or-2
Answered by
12
Hope it helps............
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