Vocabulary
How do you spell the theorem we have been learning about?
P-y-t-h-a-g-o-r-e-a-n theorem
When one leg = 3 and the other leg = 4, the hypotenuse equals?
5
A right triangle with sides: 3, 4, 5. What side is the hypotenuse?
5
John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? *Write your answer in the context of the problem
10 blocks
What are the sides of the triangle next to the right angle called?
Legs
When one leg = 6 and the other leg = 8, then the hypotenuse equals?
10
A right triangle with sides: 8, 15, 17. What are the legs?
8 and 15
Construction workers are building a ramp. The ramp is 9 feet high and 12 feet long. What is the length of the slanted part of the ramp?
15
What is the side of the triangle across from the right angle called?
Hypotenuse
When one leg = 7 and the other leg = 24, then the hypotenuse equals?
25
A right triangle with sides: 6, square root 85, and 7. What is the hypotenuse?
Square root of 85
Find the height of a tree if there is a ladder leaning against it that is 10 feet tall and it is 5 feet away from the base of the tree. *Write your answer in the context of the problem
8.7 feet
What is the Pythagorean theorem?
a2 + b2 = c2
When one leg = 3 and the other leg = 5, then the hypotenuse equals?
square root 34
A right triangle with legs: 12, 5, and 13. What are the legs?
5 and 12
Nate marched 3 meters east, and then 6 meters north. How far is Nate from the starting point?
Square root of 45, or 6.71 meters
Explain in words how we proved the Pythagorean Theorem.
The area of the squares on each of the legs add up to the area of the square on the hypotenuse.
When one leg = 10 and the other leg = 9, then the hypotenuse equals?
square root of 181
A right triangle with legs: 15, square root 709 and 22. What are the legs?
15 and 22
Roofers need to know how long of a ladder they need. The roof is 16 feet high and the bottom of the ladder will be placed 12 feet from the building. What is the length of the ladder?