CMS Intro to The Pythagorean Theorem

CMS Intro to The Pythagorean Theorem

Let's Review

Squares and Square Roots

Multiple Choice

How do I find a square number?

• I subtract numbers.

• Adding any 2 numbers together

• I multiply any 2 numbers.

• I multiply a number times itself.

Multiple Choice

Which is a square number?

• 14

• 25

• 7

• 19

Multiple Choice

If I know the area of a square, how do I find the side length?

• I square the area.
• I divide the area by 2.
• I take the square root of the area.
• I divide the area by 4.

Multiple Choice

What is the opposite of squaring a number?

• divide
• multiply 
• fractions
• square root

Lesson 3-9: Pythagorean Theorem Essential Question

How can I use Pythagorean Theorem to find the lengths of the sides of a right triangle?

Facts to Remember

- Pythagorean Theorem only works for Right Triangles.

-The Longest side (c) of the triangle is called the Hypotenuse.

- The shorter sides (a & b) of the triangle are called the legs.

- The Hypotenuse is always the side across from the right angle in the triangle.

Multiple Choice

Side c on a right triangle is ALWAYS the longest.

• true

• false

Multiple Choice

Sides a and b are called legs.

• true

• false

Multiple Choice

What is the side of a right triangle across from the right angle called?

• square
• arm
• leg
• hypotenuse

Multiple Choice

Find the length of the missing side. 

• 25 cm
• 42 cm
• 52 cm
• 48 cm

Multiple Choice

Find the value of x.

• 7
• 8
• 9
• 10

Multiple Choice

_{^{Find the missing side}}

• 9
• 41
• 6.4
• 6.2

What is the length of the missing leg?

• a² + b² = c²

• 24² + b² = 26²

• What's the next step?

What's the missing side length?

b² = 26² - 24²

What is the length of b ?

Multiple Choice

Which equation can be used to solve for "x"?

• 15² – x² = 21²

• x² – 15² = 21²

• 15² + 21² = x²

• 21² – 15² = x²

Multiple Choice

c= 97, b= 72, a=?

• 35

• 75

• 65

• 55

Is it a Right Triangle?

• If a triangle is a right triangle, then the side lengths of the triangle will satisfy the equation  $a^2+b^2=c^2$ 

• So, we can tell if a triangle is a right triangle by plugging in the lengths of a triangle into the equation  $a^2+b^2=c^2$  and if it is true, then that means it is a right triangle

Multiple Choice

Do the lengths form a right triangle? 6, 8, 10

• yes

• no

Multiple Choice

Does the set of numbers represent a right triangle?

20, 25, 15

• Yes

• No

Multiple Choice

Is this s right triangle?

• yes

• no

Multiple Choice

Is this right triangle?

• yes

• no