Solving Right Triangles

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

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.

Tags

CCSS.8.G.B.7

Front

What is the sine function?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine function?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent function?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

What is the inverse sine function?

Back

The inverse sine function (sin⁻¹) is used to find the angle when the sine value is known.

Tags

CCSS.HSF.TF.B.7

Front

What is the inverse cosine function?

Back

The inverse cosine function (cos⁻¹) is used to find the angle when the cosine value is known.

Tags

CCSS.HSF.TF.B.7