Right Triangles and Trigonometry

Front

What is a right triangle?

Back

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

Front

What is 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 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

What does SOH stand for in trigonometry?

Back

SOH stands for Sine = Opposite / Hypotenuse.

Front

What does CAH stand for in trigonometry?

Back

CAH stands for Cosine = Adjacent / Hypotenuse.

Front

What does TOA stand for in trigonometry?

Back

TOA stands for Tangent = Opposite / Adjacent.

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If side a is 3 and side b is 4, what is the length of the hypotenuse?

Back

Using the Pythagorean theorem: c² = a² + b²; c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5.