Right Triangles Practice Test

Front

What is a right triangle?

Back

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

Front

What is the Pythagorean Theorem?

Back

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

Front

How do you find the length of the hypotenuse in a right triangle?

Back

Use the Pythagorean Theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

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

Back

The sine function is defined as 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 is defined as 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 is defined as the ratio of the length of the opposite side to the length of the adjacent side: tan(θ) = opposite/adjacent.

Front

What are the side lengths of a 5-12-13 triangle?

Back

The side lengths are 5, 12, and 13, which form a right triangle.

Front

How do you determine if a set of three lengths can form a right triangle?

Back

Use the Pythagorean Theorem: check if a² + b² = c², where c is the longest side.

Front

What is the relationship between the angles and sides in a right triangle?

Back

The largest angle is opposite the longest side (hypotenuse), and the smallest angle is opposite the shortest side.

Front

If the opposite side is 10 and the hypotenuse is 26, what is the sine of the angle?

Back

sin(θ) = 10/26 = 0.3846.