Pythagorean Theorem

Pythagorean Theorem

NC.8.G.6​

​How can you solve for missing side lengths of a right triangle?

By Ms. May

What is Pythagorean Theorem?

It explains the relationship between the sides of a RIGHT triangle. sides A & B are called 'legs', while side C is known as the 'Hypotenuse'

Hypotenuse

Who is he?

​The hypotenuse( always c) is the longest side of the triangle, located directly across from the right angle! In a right triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

in other words​ a^2+b^2 = c^2

To recap,

1. ​Pythagorean Theorem explains the relationship of the side lengths of RIGHT TRIANGLES.

2. Right Triangles have 2 legs & a hypotenuse

3. Hypotenuse is the longest side and across from right angle.

4. the formula is a^2+b^2= c^2, where a & b are sides​ and c is hypotenuse

5. the formula can help find any of the 3 missing sides​

6. If ​3 side lengths make the formula true, those lengths CAN form a right triangle, its known as a PYTHAGOREAN TRIPLE

let's practice identifying parts of a triangle!

Some text here about the topic of discussion

Multiple Choice

which is the hypotenuse?

• 3

• 4

• 5

• 0

Multiple Choice

which is the hypotenuse?

• 5

• 12

• 13

• 90

Multiple Choice

which is a leg?

• 13

• 90

• 5

let's practice using the formula

Some text here about the topic of discussion

Multiple Choice

one leg = 2, the other = 3, hypotenuse=5

which is the formula in correct way?

• 2^2-3^2=5

• 5^2-3^2=2^2

• 2^2+3^2=5

• 2^2+3^2=5^2

Multiple Choice

hypotenuse=6, one leg=3, leg=4

• 6=3+4

• 3^2+4^2=6^2

• 3^2+4=6^2

Let's see how much you remember

Some text here about the topic of discussion

Multiple Choice

pythagorean theorem explains what about right triangles?

• the angle measure

• the size

• the area

• the side lengths

Multiple Choice

pythagorean theorem is

• a+b=c

• a-b=c

• a^+b^2=c

• a^2+b^2=c^2

Multiple Choice

if 3 side lengths do not make the equation true, what can be said about the triangle?

• it is not a triangle

• its a circle

• it cant be a right triangle

• its still a right triangle

Multiple Choice

the longest side of the triangle is called

• leg

• hypotenuse

• long side

• base

Multiple Choice

True or false: pythagorean theorem works with all shapes!

• true

• false

Multiple Choice

what 3 side lengths do make formula true, they are known as

• pythagoreans

• right

• pythagorean triple

Multiple Choice

the other sides of the triangle that are not the hypotenuse are called,

• arms

• legs

• sides

• toes

Thank you for participating <3
-Ms.May