Question

In the right triangle shown, the third side can be represented by the expression
A) z + y
B) z - y
C) z² + y²
D) √z²-y²

Answer 1

The answer would be D.

You would do z^2-y^2 then square root it!

Answer 2

The given triangle is a right angled triangle and therefore, the Pythagorean Theorem will be applicable to it. As is clearly visible, $z$ is the hypotenuse and $y$ is the perpendicular side of the given right triangle.

Therefore, the third side of the triangle can be found out with the use of the Pythagorean Theorem as:

Third Side=$\sqrt{z^2-y^2}$

Thus, Option D looks like the best option