Trigonometry

• Hypotenuse

• Adjacent

• Opposite

Answer explanation

Hypotenuse is the side opposite the right-angle.

Opposite it the side opposite to the given angle.

Adjacent is the side that has both the given angle and the right-angle.

• Hypotenuse

• Adjacent

• Opposite

Answer explanation

Hypotenuse is the side opposite the right-angle.

Opposite it the side opposite to the given angle.

Adjacent is the side that has both the given angle and the right-angle.

• Hypotenuse

• Adjacent

• Opposite

Answer explanation

Hypotenuse is the side opposite the right-angle.

Opposite it the side opposite to the given angle.

Adjacent is the side that has both the given angle and the right-angle.

Find the side XZ.

Do the following on the picture:

Mark the side required by a question mark.

Label the sides base on the given angle.

Base on the sides identified, select the trigonometric ratio to solve for the side.

Answer explanation

12 is a numerator hence it cannot be brought to the other side by dividing.

The answer for XZ does not make sense as XZ is the hypotenuse and it should be the longest side of the triangle. The answer is less than 12 cm.

Find the side XY.

Do the following on the picture:

Mark the side required by a question mark.

Label the sides base on the given angle.

Base on the sides identified, select the trigonometric ratio to solve for the side.

Find angle PRQ.

Do the following on the picture:

Mark the angle required.

Label the sides base on the given angle.

Base on the sides identified, select the trigonometric ratio to solve for the angle.

Find angle PQR.

Do the following on the picture:

Mark the angle required.

Label the sides base on the given angle.

Base on the sides identified, select the trigonometric ratio to solve for the angle.