Hypotenuse
Leg
Pythagorean
Theorem
Word Problems
Converse of
Pythagorean Theorem
Find the distance
Netflix
100

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with legs 3 and 4 cm long.

5 cm

100

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=10.

b = 8

100

In terms of a, b, and c, what is the Pythagorean Theorem?

a2 + b2 = c2

100

Sally walks away from her house. She walks 25 m west then 15 m south. How far, in meters, is she from her house?

29.2 meters

100

Would a triangle with side lengths 6,10,and 8 inches form a right triangle?

yes

100

The distance between (4,7) and (4,-7)

What is 14?

100

Within 3 years, when was Netflix founded?

1997 (1994-2000)

200

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.

10

200

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=9 and c=20.

a = 17.9

200

In terms of legs and hypotenuse, what is the Pythagorean Theorem?

leg2 + leg2 = hypotenuse2

200

An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?

15.5 inches

200

NO

200

This distance between (9,2) and (-11,2)

What is 20?

200

What game is often seen on Stranger Things?

Dungeons and Dragons

300

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.

13

300

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=10 and c=15.

a = 11.2

300

When using the Pythagorean Theorem, which side does c always have to be?

The hypotenuse and the longest side

300

A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?

12 feet

300

Would a triangle with side lengths 5in, 12in, and 13in form a right triangle?

YES

25+144=169

300

The distance between (5,7) and (-10,-1)

What is 17?

300

In ‘Bojack Horseman’, what kind of animal is Bojack?

Horse


400

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.

15

400

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=1 and c=4.

a = 3.9

400

What must be true about your triangle in order to use the Pythagorean Theorem?

It must be a right triangle.

400

Ed is flying a kite with a string 25 meters long. If his friend is directly under the kite 10 m away, how high, in meters, is the kite off the ground?

22.9 meters

400

NO

sides squared =5,161 

hypotenuse squared = 5184

400

What is the distance between (-7, 15) , (-2,3)?


What is 13?

400

In ‘The Queen’s Gambit’, what is the main character, Beth Harmon, prodigiously talented at?

Chess

500

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.

20

500

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=9.

b = 6.7

500

Who is credited with discovering the Pythagorean Theorem?

Pythagoras

500

A football field is a rectangle 48 meters wide and 91 meters long. The coach asks players to run from corner to corner diagonally across the field. How far do the players run?

102.9 meters

500

?

NO

500

Distance between (3,2) and (7,8)

What is 7.2

500

In ‘Black Mirror: Bandersnatch’, how many possible endings are there?

5

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