alanaforeman
alanaforeman alanaforeman
  • 24-09-2017
  • Mathematics
contestada

prove that triangle with side lengths of x^2-1, 2x, x^2+1 is a right triangle.

pls include full proof tysm!!

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kphung76127
kphung76127 kphung76127
  • 24-09-2017
Right triangles must follow the pythagorean theorem, so a^2+b^2=c^2.

Let's find a^2 and b^2 by squaring the first 2 side lengths.

(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2

Then add the two to find c^2
x^4+ 2x^2 +1= c^2

Root both sides
x^2+1=c

Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!
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