Trigonometry Missing Side

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). Formula: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

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

Back

To find the length of a missing side in a right triangle, use the Pythagorean Theorem. Rearrange the formula to solve for the missing side.

Tags

CCSS.8.G.B.7

Front

If one side of a right triangle is 3 and the other is 4, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 3² + 4² = 9 + 16 = 25. Therefore, c = √25 = 5.

Tags

CCSS.8.G.B.7

Front

What is the sine function in relation to a right triangle?

Back

The sine function (sin) is the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(θ) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine function in relation to a right triangle?

Back

The cosine function (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: cos(θ) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent function in relation to a right triangle?

Back

The tangent function (tan) is the ratio of the length of the opposite side to the length of the adjacent side. Formula: tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Tags

CCSS.5.NBT.A.4

Front

If the hypotenuse of a right triangle is 10 and one side is 6, what is the length of the other side?

Back

Using the Pythagorean Theorem: c² = a² + b². Here, 10² = 6² + b². So, 100 = 36 + b², thus b² = 64, and b = 8.

Tags

CCSS.8.G.B.7

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The side opposite the 30° angle is the shortest.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the sides are in the ratio 1:1:√2. The two legs are equal in length.

Tags

CCSS.8.G.B.8