Vocabulary
Pythagorean Theorem
Converse of Pythagorean Theorem
Distance
Applications
100
In a right triangle, the sum of the squares of the lengths of the legs, a and b, is equal to the square of the length of the hypotenuse, c. So, a2 + b2 = c2.
What is the Pythagorean Theorem?
100
Find the length of the hypotenuse of a triangle with legs of 7 meters and 24 meters.
What is 25 meters?
100
Is this a right triangle?
Yes because the Pythagorean Theorem works.
100
Find the distance between the two points on the coordinate plane. Round to the nearest tenth. 
What is 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.
What is the Converse of the Pythagorean Theorem?
200
What is the length, to the nearest tenth of a meter, of the unknown leg of the right triangle?
What is 41.4 meters?
200
Is the triangle a right triangle? Explain.
No, this is not a right triangle.
200
Find the perimeter of △ABC. Round to the nearest tenth. 
What is 22.2 units?
200
What is the length of the rectangular plot of land shown?
What is 161 feet?
300
A logical argument in which every statement of fact is supported by a reason.
What is a proof?
300
The missing side length.
What is 12?
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
Find the distance, in units, between P and Q. Round to the nearest tenth. 
What is 6.3 units.
300
Carlos is making a wood picture frame. The picture frame is 11 inches by 14 inches. After nailing the frame together, Carlos measures the diagonal. What is the length of the diagonal for the frame to have 90° corners?
What is 17.8 inches?
400
The longest leg of a right triangle.
What is the Hypotenuse?
400
The missing side length. Round to the nearest tenths.
What is 4.7mm?
400
Does the converse prove this is a right triangle?
Yes, this is a right triangle
400
The distance between P and Q is?
Round to the nearest tenth as needed.
What is 8.9 units
400
Find the missing lengths m and n in the rectangular prism. 
What is m=10cm and n= 26cm?
500
a side of a right triangle that is not the hypotenuse.
What is a leg?
500
The missing side length
What is 39?
500
ΔABC is an isosceles triangle. Is AD the height of ΔABC?
Yes, this is a right triangle
500
Find the perimeter of triangle XYZ. Round to the nearest hundredths.
What is 14.48 units?
500
A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.4 in. The slant height of the pyramid is 88.2 in. What is the height of the pyramid?
What is 87.5?