Right Triangle Trig

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 function in a right triangle?

Back

The sine of an angle (A) in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse: sin(A) = opposite/hypotenuse.

Front

What is the cosine function in a right triangle?

Back

The cosine of an angle (A) in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse: cos(A) = adjacent/hypotenuse.

Front

What is the tangent function in a right triangle?

Back

The tangent of an angle (A) in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side: tan(A) = opposite/adjacent.

Front

How do you find the length of a side using sine?

Back

To find the length of a side using sine, use the formula: opposite = hypotenuse * sin(A).

Front

How do you find the length of a side using cosine?

Back

To find the length of a side using cosine, use the formula: adjacent = hypotenuse * cos(A).

Front

How do you find the length of a side using tangent?

Back

To find the length of a side using tangent, use the formula: opposite = adjacent * tan(A).

Front

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

Back

The angles in a right triangle are related to the lengths of the sides through trigonometric ratios (sine, cosine, tangent).

Front

What is the hypotenuse in a right triangle?

Back

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