Finding the Hypotenuse
Finding the Leg
Pythagorean
Theorem
Theorem
Word Problems
Pythagorean Triples
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 40 m west then 9 m south. If Sally walks back to her house using the shortest distance, how far, in meters, is she from her house?
41 meters
100
Is 20, 99, 101 a pythagorean triples?
Yes
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. Round your answer to the nearest tenth.
a = 17.9
200
How do you solve this question?
c2=441
Take the square root of 441
200
An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope? Round your answer to the nearest tenth.
15.5 inches
200
Is that 6, 8, and 10 is a pythagorean triple?
Yes
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 12. Round your answer to the nearest tenth.
13.4
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=10 and c=15. Round your answer to the nearest tenth.
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
If 5 is the length of the hypotenuse and it is a Pythagorean triple, what are the other two numbers?
3 and 4
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 15 and 18. Round your answer to the nearest tenth.
23.4
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=1 and c=4. Round your answer to the nearest tenth.
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
Are 9 and 10 two of the three values in a Pythagorean Triple?
No
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are both 9cm. Round your answer to the nearest tenth.
12.7
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=9. Round your answer to the nearest tenth.
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 Matthew to run the outside of the field and to try to beat Brooklyn who is going to run from corner to corner. Who will run a longer distance and by how much? Round your answers to the nearest whole number.
36 meters
500
If you know the longest side is 17, what are the other two numbers that make a Pythagorean Triple?
8 and 15
600
A triangle has the sides of 3m, 4m and 5m. A similar triangle is drawn that has the smallest side of 9, what are the other two sides?
12m and 15m
600
What is the length of AS? Round your answer to the nearest tenth.
10.8 m
600
What is the vocabulary term for the following definition? If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle.
The Converse of the Pythagorean Theorem
600
What is the length of the longest rod that will fit inside this cube? Round your answer to the nearest tenth. 
3.5 m
600
If you know the longest side is 241, what are the other two numbers that make a Pythagorean Triple?
120 and 209