Pythagorean Theorem and the converse, Pythagorean Theorem

Hypotenuse

The longest side of a right triangle which is opposite the right angle.

5

a = 3, b = 4, c = ?

25

a = 7, b = 24, c = ?

10

a = 6, b = 8, c = ?

A triangle where one angle is 90 degrees.

Right Triangle

Yes

Does this forma right triangle? 8, 15, 17

What part of the triangle is being shown?

legs

What part of the triangle is being shown?

hypotenuse

An angle of exactly 90 degrees.

right angle

23.4

a = 18, b = 15, c = ?

No

Does it form a right triangle? 24, 25, 17

Pythagorean Theorem

Legs

Sides that are adjacent (same vertex, share a common side) the right angle. There are two.

Hypotenuse

The side opposite the right angle

Right Triangle

A triangle that has one right angle (90 degrees) with 2 legs, and one hypotenuse.

leg

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

hypotenuse

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

square

The result of multiplying a number by itself.

perfect square

A square with a whole number root.

Pythagoras

Greek philosopher, 570-495 BC. There is no evidence that Pythagoras himself worked on or proved the Pythagorean Theorem, which was used previously by Babylonians and Indians.

inverse operations

Math operations that reverse the effect of each other.

32

Leg a- 20 Leg b- 25

15.2

Leg a- 6 Leg b- 14

right triangle

a triangle with a 90 degree angle

Right

The Pythagorean theorem can only be used with ___________ triangles.

25

If the legs of a right triangle are 7 and 24, what is the hypotenuse?