Unit 9.1-9.3

Question 1

Pythagorean theorem

Answer 1

A squared plus B squared equals C squared

Question 2

Converse of the Pythagorean theorem

Answer 2

If C squared equals Ansquared plus B squared then ABC is a right triangle 

Question 3

Pythagorean inequalities theorem

Answer 3

If C squared is less than Absquared plus B squared then acute; if C squared is greater than A squared plus B squared then obtuse

Question 4

45, 45, 90 triangle theorem

Answer 4

If 45, 45, 90 triangle, the hypotenuse is the square root of 2 times as long as each leg

Question 5

30, 60, 90, triangle theorem

Answer 5

The hypotenuse is twice as long as the shorter leg, and the shorter leg (across the 60) Is the square root of three times as long as the shorter leg

Question 6

Altitude theorem

Answer 6

Altitude squared is equal to hypotenuse segment times second hypotenuse segment

Question 7

Geometric mean, leg theorem

Answer 7

Leg squared, is equal to Adjacent segment times entire hypotenuse/overall