Question

ASAP ! Triangle WXY is a right triangle.True or False?

Answer 1

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:
$\sqrt{17}$ ^2+$\sqrt{17}$ ^2 = $\sqrt{34}$ ^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.