The correct answer would be true.
To verify that triangle WXY is a right triangle, use the Pythagorean theorem or
a^2+b^2=c^2 where a and b are the two shorter legs and c is the hypotenuse.
If a^2+b^2 is equal to c^2, then it is a right triangle. If a^2+b^2 is greater that c^2, then the triangle is acute and if a^2+b^2 is less than c^2, then the triangle is obtuse.
When you plug in the values into the theorem, you should get:
[tex] \sqrt{17} [/tex] ^2+[tex] \sqrt{17} [/tex] ^2 = [tex] \sqrt{34} [/tex] ^2
This would simplify to 17+17=34 which simplifies to 34=34.
Because a^2+b^2 equals c^2, you can conclude that triangle WXY is a right triangle.
