Pythagorean Theorem

Multiple Choice

Play the video to the left. Does the water from the two smaller squares fit into the larger square?

• yes

• no

Match

Match the correct sides of the right triangle with their name

• Leg

• Leg

• Hypotenuse

a

b

c

• a

• b

• c

Open Ended

In your own words, explain the relationship between the area of legs a (3) and b (4) and the hypotenuse (5).

Multiple Choice

$$a^2\ +\ b^2\ =\ c^2$$

If you are solving for the length of the hypotenuse (c), after inserting the values of a and b into the equation, what is the FIRST step in solving for c ?

$$3^2\ +\ 4^2\ =\ c^2$$

• Add 3² + 4²

  7²

• Square (exponents)

  3² and 4²

  3x3 and 4x4

  9 and 16

Multiple Choice

$$a^2\ +b^2\ =\ c^2$$

$$3^2\ +\ 4^2\ =c^2$$

$$9\ +\ 16\ =c^2$$

What is the next step of the equation to solve for c?

• Add 9 + 16

• Subtract 16 from both sides

• Subtract 9 from both sides

Multiple Choice

What is the last step of the Pythagorean Theorem to solve for the length of the hypotenuse (c)?

$$25\ =\ c^2$$

• Divide both sides by 25

• Take the square root on both sides

Multiple Choice

$$a^2\ +\ b^2\ =\ c^2$$

$$15^2\ +\ b^2\ =17^2$$

$$225\ +\ b^2\ =289$$

After squaring both 15 (15x15) and 17 (17x17), what is the next step to solve for b² ?

• Add 225 to both sides

• Add 289 to both sides

• Subtract 225 from both sides

• Subtract 289 from both sides

Multiple Choice

After subtracting 225 from both sides of the equation, we get $$b^2\ =64$$

What is the last step to solve for b ?

• $$\sqrt[]{b}=\sqrt[]{64}$$

• $$\frac{b^2}{b}\ =\frac{64}{b}$$

Draw

1. Draw a right triangle so that ST is the hypotenuse.

2. Count the length of legs a and b in units.

Labeling

Label the side of the triangle with a length of 5 units.

Drag labels to their correct position on the image

c

6

5

Drag and Drop

​

Placeholder

² ​ +​

Placeholder

² =​

Placeholder

Drag these tiles and drop them in the correct blank above

5

6

3, 4,

$$a^2$$  

1, 2,

$$b^2$$  

7, 8,

$$d^2$$  

Drag and Drop

​

Placeholder

​ +​

Placeholder

= ​

Placeholder

²

Drag these tiles and drop them in the correct blank above

25

36

10

15

c

Dropdown

​ ​ ​ ​

Select answer

= c²

Math Response

61 = c²

^{What do you need to do to solve for c?}

^{Type final step in the box.}

Type answer here

Correct Answer: \sqrt[2]{61}

Deg^°

Rad