Pythagorean Day 2

TRY ON YOUR OWN!

7

Multiple Choice

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Multiple Choice

Find the length of the missing side. 

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Multiple Choice

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Will the side lengths below

form right triangles?

10

Multiple Choice

Do these 3 side lengths form a right triangle?
13, 80, and 81?

• yes

• no

Multiple Choice

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

• yes

• no

Multiple Choice

Do the segment lengths 9, 12, and 15 form a right triangle?

• Yes

• No

Multiple Choice

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

• Yes

• No

Distance Between

Two Points

Today, we will use the Pythagorean Theorem to find the

distance between two points on a coordinate plane.

Let’s Review

3

side length

a RIGHT triangle

Let’s Review

4

Let’s take it a step further!

1.Plot the points

2. Draw a RIGHT triangle

3. Count the length of
the legs

4. Set up the
Pythagorean Theorem

5. Solve for the
hypotenuse, c

OR

6

3

a2 + b2 = c2

62 + 32 = c2

36 + 9 = c2

45 = c2

√45 = c

6.48 c

⩰

Try one on your own

Compare with your elbow partner when done.

Summarize
First, I will…
Step 1

Next, I will…
Step 2

After that, I will…
Step 3

Finally, I will…
Step 4

Summarize the steps
needed to find the
distance between two
points

*you may use more than 4
steps, if needed

Stand up
when you
are done.

Take 7
steps and
compare
with a
partner.

Multiple Choice

Find the distance.

• 9.7 (3SF)

• 10.7 (3SF)

• 11.7 (3SF)

• 12.7 (3SF)

Multiple Choice

What is the distance between the two points?

• 6.32 (3SF)

• 6.51 (3SF)

• 6.77 (3SF)

• 16.8 (3SF)

Multiple Choice

What is the length of the hypotenuse in the triangle shown?

• 3

• 4

• 5

• 8

Multiple Choice

Find the distance.

• 7

• 7.81 (3SF)

• 8.75 (3SF)

• 8.97 (3SF)

Multiple Choice

Find the distance between J and K.

• 8.2

• 7.7

• 9

• 10.2