Chapter 8

Question 0

Theorem 8-2: Converse of the Pythagorean Theorem

Answer 0

If the square 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

Question 1

Theorem 8-1:Pythagorean Theorem

Answer 1

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

Question 2

Theorem 8-3

Answer 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

Question 3

Theorem 8-4

Answer 3

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

Question 4

Pythagorean triple

Answer 4

A pythagorean triple is a set of nonzero whole numbers a,b, and c that satisfy the equation a2+b2=c2

Question 5

Common triples

Answer 5

3,4,5 5,12,13 8,15,17 7,24,25

Question 6

Theorem 8-5:45-45-90 Triangle Theorem

Answer 6

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

Question 7

Theorem 8-6: 30-60-90 Triangle Theorem

Answer 7

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.

Question 8

Tangent of <A

Answer 8

Equals length of leg opposite <a><A</a>

Question 9

Sine of <A

Answer 9

Equals leg opposite <A over hypotenuse

Question 10

Cosine of <A

Answer 10

Equals leg adjacent <A over hypotenuse

Question 11

Identity

Answer 11

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