Question

In triangle XYZ. (Y.Z)² = (XZ)² + (XY)². What type of angle is X?

A acute
B right
C obtuse​

Answer 1

In triangle XYZ, the equation (Y.Z)² = (XZ)² + (XY)² represents the Pythagorean theorem. If (Y.Z)² = (XZ)² + (XY)², then angle X must be a right angle (B).

Step-by-step explanation:

In triangle XYZ, the equation (Y.Z)² = (XZ)² + (XY)² represents the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

If (Y.Z)² = (XZ)² + (XY)², then angle X must be a right angle (B) because only in a right triangle will the relationship hold true.