Pythagorean Theorem and Angles

labeled a and b, the other two sides of the right triangle

Leg

the square of the hypotenuse is equal to

the sum of the squares of the other two sides.

Pythagorean Theorem

5

a=3 b=4 c=?

25

a=7 b=24 c=?

10

a=6 b=8 c=?

No

Is this a right triangle: a=4, b=6, c=9

a triangle where one angle is guaranteed to be 90 degrees.

Right Triangle

yes

Would these three sides form a right angle 8, 15, 17

12

Find b: a=5 b=? c=13

Either of the two shortest sides of a right triangle, they meet at a common vertex to form a right angle.

leg

The longest side of a right triangle. It is always opposite of, and never is a part of, the right angle.

hypotenuse

The result of multiplying a number by itself.

square

The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

pythagorean theorem

An angle of exactly 90 degrees.

right angle

Math operations that reverse the effect of each other.

inverse operations

√47 ≈

≈ 6.86

two angles that add up to 90°

complementary angles

If angle A is 35°, angle B is

65

two angles that add up to 180°

supplementary angles

Angle 2 is 115°, that would make angle 1

65

Angles 1 and 2 are corresponding angles, which means they are ______________________

congruent

same size and same value

congruent

translation

slide

reflection

mirror image

volume

amount of space inside of a 3-d object

surface area

the space needed to cover the outside of a 3-d shape