Labeling Right Triangles

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

In a right triangle, what is the hypotenuse?

Back

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

Front

What are the two other sides of a right triangle called?

Back

The two other sides are called the opposite side and the adjacent side.

Front

How do you identify the opposite side in relation to a given angle in a right triangle?

Back

The opposite side is the side that does not touch the angle in question.

Front

How do you identify the adjacent side in relation to a given angle in a right triangle?

Back

The adjacent side is the side that touches the angle in question, excluding the hypotenuse.

Front

What is the relationship between the sides of a right triangle and the Pythagorean theorem?

Back

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

Front

What is the sine function in relation to a right triangle?

Back

The sine function of an angle is the ratio of the length of the opposite side to the length of the hypotenuse (sin(θ) = opposite/hypotenuse).

Front

What is the cosine function in relation to a right triangle?

Back

The cosine function of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse (cos(θ) = adjacent/hypotenuse).

Front

What is the tangent function in relation to a right triangle?

Back

The tangent function of an angle is the ratio of the length of the opposite side to the length of the adjacent side (tan(θ) = opposite/adjacent).

Front

What does it mean for the hypotenuse to be 'across from the right angle'?

Back

It means that the hypotenuse is the side opposite the right angle in a right triangle.