Question 198394
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((2y)^2 + (4y)^2)}}}
h = {{{sqrt(4y^2 + 16y^2)}}}
h = {{{sqrt(20y^2)}}}
which is
h = {{{sqrt(4*5*y^2)}}}
Extract the perfect squares
h = {{{2y*sqrt(5)}}} 0r {{{2*sqrt(5)y}}}