Chapter 8 Review

Front

What is the formula to find the length of a leg in a 45-45-90 triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse by √2.

Front

What type of triangle is formed by sides of lengths 9, 9, and 3?

Back

Acute triangle.

Front

If the hypotenuse of a 45-45-90 triangle is 20 m, what is the length of each leg?

Back

Each leg is 20/√2 or approximately 14.14 m.

Front

What is the length of y in a 45-45-90 triangle if one leg is 8?

Back

y = 8√2.

Front

Which trigonometric function is used to find the adjacent side when the hypotenuse and angle are known?

Back

Cosine.

Front

In a right triangle, if one angle is 30 degrees, what is the ratio of the lengths of the sides opposite and adjacent to this angle?

Back

1:√3.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you determine if three lengths can form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

What is the sine of a 45-degree angle?

Back

√2/2.