Vocab.
Distance Formula
Hypotenuse/Legs
Converse of the Pyth Theorem
Word Problems
100
What is the name of the formula a2+b2=c2
Pythagorean Theorem
100
(3, 8), (9, 10)
6.325
100
Use the Pythagorean theorem to find c.
a = 6
b= 8
10
100
Does the set of numbers represent a right triangle? Include Yes or No and the numbers in your answer!
10, 24, 26
yes ... 676=676
100
Miss Barker is teaching a 5th grade class. She is standing 12 feet in front of Jim. Francisco is sitting 5 feet to Jim’s right. How far apart are Miss Barker and Francisco?
13 feet
200
What type of triangles is Pythagorean Theorem used for?
Right Triangles
200
(10, 1), (9, −4)
5.099
200
17 cm
200
Does the set of numbers represent a right triangle? Include Yes or No and the numbers in your answer!
10, 16, 20
no ... 356=400
200
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?
150 m
300
In the Pythagorean theorem, what are "a" and "b" called?
Legs
300
(6, 4), (−5, −1)
12.083
300
Use the Pythagorean theorem to find the missing leg for the triangle with a = 7 and c = 25.
b = 24
300
Does the set of numbers represent a right triangle? Include Yes or No and the numbers in your answer!
9, 12, 15
yes ... 225=225
300
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
11.619 feet
400
In the Pythagorean theorem, what is "c" called?
Hypotenuse
400
5.099
400
16.8
400
Does the set of numbers represent a right triangle? Include Yes or No and the numbers in your answer!
9.6, 18, 20.1
no ... 416.16=404.01
400
Coach Alvarado drew his football team’s next play on the coordinate grid. He placed Kaleem at (1, 3). He will be passing the ball to Jeremy at (−6, 3). What is the distance, in yards, of the pass from Kaleem to Jeremy?
7 yards
500
We know three numbers represent a right triangle by using the ______ of Pythagorean Theorem.
Converse
500
(5, 9), (−7, −7)
20
500
Use the Pythagorean theorem to find the missing leg for the triangle with c = 37 and b = 12.
a = 35
500
Does the set of numbers represent a right triangle? Include Yes or No and the numbers in your answer!
10, 49.5, 50.5
yes ... 2,550.25=2,550.25
500
The Riley and Brown families decided to go to a concert together. The Riley’s live 6 miles west and 3 miles north of the concert. The Browns live 2 miles east and 4 miles south. How far apart do they live?
(-6,3) (2,-4)
10.63 miles