CP Geometry Unit 5 Mixed Review

Front

What is the Pythagorean Theorem?

Back

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.

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

How do you find the long leg in a 30-60-90 triangle if the short leg is given?

Back

Multiply the length of the short leg by √3.

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.

Front

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

Back

Use the formula: sin(θ) = opposite/hypotenuse. Rearranged, it gives: opposite = hypotenuse * sin(θ).

Front

What is the sine of 45 degrees?

Back

sin(45°) = √2/2.

Front

What is the cosine of 45 degrees?

Back

cos(45°) = √2/2.

Front

What is the tangent of 45 degrees?

Back

tan(45°) = 1.

Front

How do you solve for x using the sine function?

Back

If sin(θ) = opposite/hypotenuse, rearrange to find x: x = hypotenuse * sin(θ).

Front

What is the formula to find the length of a side using the cosine function?

Back

Use the formula: cos(θ) = adjacent/hypotenuse. Rearranged, it gives: adjacent = hypotenuse * cos(θ).