Vocabulary
Pythagorean Theorem
Converse of Pythagorean Theorem
Distance
Applications
100
State the Pythagorean Theorem.
a2 + b2 = c2
100
Find the length of the hypotenuse of a triangle with legs of 7 meters and 24 meters.
25 meters
100
Is a triangle with side lengths of 8 m, 15 m, and 17 m a right triangle? Explain.
Yes because the Pythagorean Theorem works.
100
Find the distance between the two points on the coordinate plane. Round to the nearest tenth. 
7.1 units.
100
A shipping box is 20 inches long along the diagonal of its base. Each diagonal of the box is 29 inches long. How tall is the box? 
The height of the shipping box is 21 inches.
200
For a triangle with side lengths a, b, and c, if a2 + b2 = c2, then the triangle is a right triangle. State the terminology describing this.
The Converse of the Pythagorean Theorem.
200
Find the length of the hypotenuse with leg lengths of 12cm and 5cm.
13 centimeters.
200
Is the triangle a right triangle? Explain. 
Yes the Pythagorean Theorem works.
200
Find the perimeter of △ABC. Round to the nearest tenth. 
22.2 units
200
A basketball court is in the shape of a rectangle that is 94 feet long and 50 feet wide. What is the length of a diagonal of the court? Round to the nearest tenth.
106.5 feet.
300
A logical argument in which every statement of fact is supported by a reason.
What is a proof?
300
Find the unknown side length of a right triangle with hypotenuse of 9 in and one leg of 7 in. Round to the nearest tenth.
5.7 inches
300
A triangle has side lengths 1.5 inches, 2 inches, and 3 inches. Is the triangle a right triangle? Explain.
No the Pythagorean Theorem does not work.
300
Points C and D represent the location of two parks on a map. Find the distance between the parks if the length of each unit on the grid is equal to 25 miles. Round to the nearest mile. 
168 miles.
300
A packaging box for a metal rod is 7.5 inches along a diagonal of the base. The height of the box is 18 inches. What is the length of a diagonal of the box?
19.5 inches
400
The longest leg of a right triangle.
What is the Hypotenuse?
400
Gigi’s family left their house and drove 14 miles south to a gas station and 48 miles east to a water park. How much shorter would their trip to the water park have been if they hadn’t stopped at the gas station and driven along the diagonal path instead?
12 miles
400
A triangle has side lengths 9 feet, 40 feet, and 41 feet. Is the triangle a right triangle? Explain.
Yes the Pythagorean Theorem works.
400
Find the length of LK.
5.8
400
Find the length of AF.
7 cm
500
The sides of a triangle that form the right angle.
What is a leg?
500
Peter is trying to get his cat out of a tree in his backyard. The cat is 12 feet above the ground, and Peter sets the base of his ladder 9 feet away from the tree to avoid some mud. How long does the ladder need to be in order to reach the cat?
15 feet
500
The square pyramid has a base with an area of 64 sq cm and a slant height of 9 cm. What is the height of the pyramid?
8.1 cm