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.8

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function that relates the angle of a right triangle to 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) is a trigonometric function that relates the angle of a right triangle to 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) is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSF.TF.A.2

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 relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the three angles is always 180 degrees, and the two non-right angles are complementary (they add up to 90 degrees).

Tags

CCSS.8.G.A.5

Front

How do you calculate the missing angle in a right triangle?

Back

To calculate the missing angle, subtract the known angles from 90 degrees (for the non-right angles) or from 180 degrees (for any triangle).

Tags

CCSS.7.G.B.5