Missing angles in right triangles

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

What is the sine ratio in a right triangle?

Back

The sine ratio 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 ratio in a right triangle?

Back

The cosine ratio 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 ratio in a right triangle?

Back

The tangent ratio 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 does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic to remember the definitions of sine, cosine, and tangent: SOH = Sine = Opposite/Hypotenuse, CAH = Cosine = Adjacent/Hypotenuse, TOA = Tangent = Opposite/Adjacent.

Front

How do you find the height of an object using a right triangle?

Back

You can use trigonometric ratios (sine, cosine, or tangent) to find the height by setting up an equation based on the angle of elevation and the distance from the object.

Front

What is the formula to find the opposite side using sine?

Back

To find the opposite side, use the formula: opposite = hypotenuse * sin(θ).

Front

What is the formula to find the adjacent side using cosine?

Back

To find the adjacent side, use the formula: adjacent = hypotenuse * cos(θ).

Front

What is the formula to find the opposite side using tangent?

Back

To find the opposite side, use the formula: opposite = adjacent * tan(θ).