SOLUTION: a right angle triangle whose hypotenuse is 2 c.m longer than the base and 4 c.m longer than altitude.what is the sides of triangle
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Question 901657: a right angle triangle whose hypotenuse is 2 c.m longer than the base and 4 c.m longer than altitude.what is the sides of triangle Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! let hypotenuse be x
base = x-2
height = x-4
x^2= (x-2)^2+(x-4)^2
x^2= x^2-4x+4+x^2-8x+16
x^2-12x+20=0
x^2-10x-2x+20=0
x(x-10)-2(x-10)=0
(x-10)(x-2)=0
x=10 OR x=2
it cannot be 2
so hypotenuse = 10
the sides are 6,8,10
