SOLUTION: A triangle has sides 2y, 4y and ({{{ root( 4, 5 ) }}})y. Is the triangle a right triangle? Explain.

Algebra ->  Test -> SOLUTION: A triangle has sides 2y, 4y and ({{{ root( 4, 5 ) }}})y. Is the triangle a right triangle? Explain.      Log On


   

Question 198394: A triangle has sides 2y, 4y and (+root%28+4%2C+5+%29+)y. Is the triangle a right triangle? Explain.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A triangle has sides 2y, 4y and ( root( 4, 5 ) )y. Is the triangle a right triangle? Explain.
:
A right triangle, the hypotenuse would be:
h = sqrt%28%282y%29%5E2+%2B+%284y%29%5E2%29
h = sqrt%284y%5E2+%2B+16y%5E2%29
h = sqrt%2820y%5E2%29
which is
h = sqrt%284%2A5%2Ay%5E2%29
Extract the perfect squares
h = 2y%2Asqrt%285%29 0r 2%2Asqrt%285%29y