Trig Level 1 - Identifying Opposite, Adjacent, Hypotenuse

Front

What is the definition of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the definition of the opposite side in relation to an angle in a right triangle?

Back

The opposite side is the side that is opposite to the angle in question.

Front

What is the definition of the adjacent side in relation to an angle in a right triangle?

Back

The adjacent side is the side that is next to the angle in question and is not the hypotenuse.

Front

In a right triangle, if one angle is 30 degrees, what is the relationship between the opposite side and the hypotenuse?

Back

The length of the opposite side is half the length of the hypotenuse.

Front

If the hypotenuse of a right triangle is 34, what is the maximum possible length of the opposite side?

Back

The maximum possible length of the opposite side is 34.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): c² = a² + b².

Front

If the lengths of the two legs of a right triangle are 16 and 30, what is the length of the hypotenuse?

Back

Using the Pythagorean theorem: c = √(16² + 30²) = √(256 + 900) = √1156 = 34.

Front

What is the formula to find the length of the opposite side if the angle and hypotenuse are known?

Back

Opposite side = Hypotenuse × sin(angle).

Front

What is the formula to find the length of the adjacent side if the angle and hypotenuse are known?

Back

Adjacent side = Hypotenuse × cos(angle).

Front

In a right triangle, if one angle is 45 degrees, what can be said about the lengths of the opposite and adjacent sides?

Back

The lengths of the opposite and adjacent sides are equal.