Right Triangles 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): c² = a² + b².

Front

How do you determine if a triangle is a right triangle using side lengths?

Back

To determine if a triangle is a right triangle, check if the square of the longest side equals the sum of the squares of the other two sides.

Front

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

Back

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

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root (√) or cube root (∛).

Front

How do you simplify √72?

Back

√72 can be simplified to 6√2 by factoring 72 into 36 and 2, where √36 = 6.

Front

What does it mean for a triangle to be obtuse?

Back

A triangle is obtuse if one of its angles measures more than 90 degrees.

Front

What does it mean for a triangle to be acute?

Back

A triangle is acute if all of its angles measure less than 90 degrees.