SOLUTION: The hypotenuse of an isosceles right triangle is 2 centimeters longer than either of its legs. Find the exact length of each side.
Thank you for your time and help.
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Question 361135: The hypotenuse of an isosceles right triangle is 2 centimeters longer than either of its legs. Find the exact length of each side.
Thank you for your time and help. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! The hypotenuse of an isosceles right triangle is 2 centimeters longer than either of its legs. Find the exact length of each side.
let x be the legs
x+2 = hypotenuse
x^2+x^2=(x+2)^2
2x^2=x^2+4x+4
x^2-4x-4=0
use quadratic formula
b^2-4ac= 32
..
x1=4.828
x2=-0.828 (ignore)
legs are 4.828 cm
hypotenuse = 6.828 cm
...
m.ananth@hotmail.ca
