Chapter 8

Question 0

If the squares of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides then the triangle is a right triangle

Answer 0

Converse of the Pythagorean theorem

Question 1

In a right triangle the sum of the squares of the lengths of the leg is equal to the square of the length of the hypotenuse

Answer 1

Theorem 8-1 Pythagorean theorem

Question 2

If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides the triangle is obtuse

Answer 2

Theorem 8-3

Question 3

If the square of the length of the longest side of a right triangle is less than the sum of the squares of the length of the other two sides, the triangle is acute

Answer 3

Theorem 8-4

Question 4

A set of nonzero whole numbers that satisfy a squared plus b squared equals c squared

Answer 4

Pythagorean triple

Question 5

In a 45-45-90 triangle both legs are congruent and the length of the hypotenuse is root 2 the length of the leg

Answer 5

Theorem 8-5 45-45-90 Triangle theorem

Question 6

In a 30-60-90 triangle the length of the hypotenuse is twice the length of the shorter leg the length of the longer leg is root 3 times the length of the shorter leg and the hypotenuse is 2 times the shorter leg

Answer 6

Theorem 8-6 30-60-90 Triangle Theorem

Question 7

Length of leg opposite divided by length of leg of adjacent

Tan a = opposite/adjacent

Answer 7

Tangent

Question 8

Leg opposite divided by hypotenuse

Opposite/hypotenuse

Answer 8

Sine

Question 9

Leg adjacent divided by hypotenuse

Adjacent/hypotenuse

Answer 9

Cosine

Question 10

An equation that is true for all allowed values of the variable

Answer 10

Identity

Question 11

The angle formed by a horizontal line and the line of sight to a point above the line

Answer 11

Angle of elevation

Question 12

Angle formed by a horizontal line and the line of sight to a point below the line

Answer 12

Angle of depression