Pythagorean Theorem

Basics

100

12²

144

200

16²

256

300

23^2

529

400

27²

729

500

43^2

1,849

Find the hypotenuse

100

Use the Pythagorean theorem to find c. 

^{a = 7}

^{b = 9}

11.4

200

Use the Pythagorean theorem to find c.

a = 13

b= 17

21.4

300

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5.2 and 12.4.

13.4

400

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 18 and 24.

30

500

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 108 and 45.

117

Find the leg

100

Use the Pythagorean theorem to find the missing leg for the triangle with c=5 and b=4.

a = 3

200

Use the Pythagorean theorem to find the missing leg for the triangle with a= 8 and c=17.

b = 15

300

Use the Pythagorean theorem to find the missing leg for the triangle with a = 7 and c = 25.

b = 24

400

Use the Pythagorean theorem to find the missing leg for the triangle with c=20 and b=29.

a = 21

500

Use the Pythagorean theorem to find the missing leg for the triangle with c = 37 and b = 12.

a = 35

Word Problems

100

What is the diagonal length of a rectangle that is 12in by 9in?

15in

200

I have a rectangle with a 10cm diagonal and a width of 6cm.  What is the length?

8cm

300

The foot of a ladder is placed 15ft from a wall.  You want to reach a window on the building that is 20ft above ground.  What size ladder will you need to reach the window?

25ft

400

A small flag is 12 inches in length.  If the diagonal of the flag is 15 inches, what is the width of the flag?

9 in

500

From his house, Anthony runs 8 miles north and then runs west for a little bit.  At at the end of his run, he sees that he is 12 miles away from his house.  How many miles did he run west? (round to the nearest whole number)

9 miles

Process

100

What is the first step of Pythagorean Theorem?

Label/Identify a, b, and c

200

Pythagoras theorem states that “In a right-angled triangle, the sum of the square of the other two sides of a triangle is equal to the

Square of the hypotenuse

300

Once you have found the square of the missing side, what is your next step to find the length?

Square root the square

400

If the hypotenuse is the missing side, what operation do we use?

Addition

500

If one of the legs are missing, what operation do we use?

Subtraction