Pythagorean Theorem

Find Hypotenuse

100

a = 5 and b = 12, find c.

13

200

a = 5 and b = 7, find c.

sqrt(74)

300

a = 2 and b = 4, find c.

2 sqrt(5)

Find Other Side

100

a = 8 and c = 17, find b.

15

200

a = 7 and c = 10, find b.

sqrt(51)

300

a = 6 and c = 8, find b.

2 sqrt(7)

Converse

100

A triangle has sides 3, 5, and 7. Is it right, acute, or obtuse?

obtuse

200

A triangle has sides 5, 6, and 7. Is it right, acute, or obtuse?

acute

300

A triangle has sides 3, 4, and 8. Is it right, acute, or obtuse?

not a triangle

Review

100

The angles of a triangle are given by 

A = 5x        B = 2x-11        C = 3x-19

Find x.

21

200

p: A triangle is obtuse.

q: One angle is greater than 90 degrees.

Represent the following sentence using symbols.

If one angle is not greater than 90 degrees, then the triangle is not obtuse. 

~q (arrow) ~p

300

The point (18, -6) is dilated with a scale factor of 1/3. What is the new point? 

(6, -2)