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): c² = a² + b².

Tags

CCSS.8.G.B.7

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: sin(θ) = opposite/hypotenuse.

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: cos(θ) = adjacent/hypotenuse.

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: tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

In a right triangle, the side opposite the largest angle is the longest side (hypotenuse), and the side opposite the smallest angle is the shortest side.

Tags

CCSS.HSG.CO.C.10

Front

What is the sine of a 30-degree angle?

Back

The sine of a 30-degree angle is 0.5.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine of a 60-degree angle?

Back

The cosine of a 60-degree angle is 0.5.

Tags

CCSS.HSG.SRT.C.7

Front

What is the tangent of a 45-degree angle?

Back

The tangent of a 45-degree angle is 1.

Tags

CCSS.HSG.SRT.C.6

Front

How do you solve for an angle in a right triangle using sine?

Back

To solve for an angle using sine, use the formula: θ = sin⁻¹(opposite/hypotenuse).

Tags

CCSS.HSG.SRT.C.8