Question

given the triangle below use the drop down to complete each statement.

the side x is called the with respect to angle z.

the side y is called the with respect to angle z.

the side z is called the with respect to angle z.

the side x is called the with respect to angle x.

the side z is called the with respect to angle x.

Explanation:

For a right triangle, relative to an acute angle:

1. Hypotenuse: The side opposite the right angle (longest side).
2. Opposite side: The side across from the acute angle.
3. Adjacent side: The side next to the acute angle (not the hypotenuse).

Using right triangle \(XYZ\) (right angle at \(Y\)):

• For angle \(Z\):
• Side \(x\) is next to angle \(Z\) (not hypotenuse).
• Side \(y\) is opposite the right angle (longest side).
• Side \(z\) is across from angle \(Z\).
• For angle \(X\):
• Side \(x\) is across from angle \(X\).
• Side \(z\) is next to angle \(X\) (not hypotenuse).

Answer:

The side x is called the adjacent side with respect to angle Z.
The side y is called the hypotenuse with respect to angle Z.
The side z is called the opposite side with respect to angle Z.
The side x is called the opposite side with respect to angle X.
The side z is called the adjacent side with respect to angle X.