Word Problems
Pythagorean Triples
History/Pythagorean Theorem
45-45-90 Triangles
100
Three people are sitting on a bus. Vincent is seated 4 meters directly behind Dave and 3 meters directly left of Martha. How far is Dave from Martha?
What is 5 meters
100
How many Pythagorean Triples are there?
What is infinitely many.
100
The Egyptians used what tool to create right triangles?
What is rope
100
Given that one of the side of a 45-45-90 triangle is 4, what is the hypotenuse length?
What is 4√2
200
An envelope measures 5 inches by 12 inches. A pencil is placed in the envelope at a diagonal. What is the maximum possible length of the pencil?
What is 13 inches
200
A Pythagorean Triple is a set of 3 integers that fits what rule?
What is a^2 + b^2 = c^2
200
The Egyptian workers who used rope are called what?
What is rope stretcher
200
Given a 45-45-90 triangle with a hypotenuse of 10√2 inches what are the sides?
What is 10 inches and 10 inches
300
Fluke and Flevin lay together diagonally across a room from corner to corner, the length of Fluke and Flevin is 8√2. What is the height and width of the room?
What is 8 by 8
300
What is the difference between the Pythagorean Triples (3,4,5) and (6,8,10)
What is multiple of 2.
300
What does the c represent in the Pythagorean Theorem?
What is hypotenuse.
300
State the general formula by filling out the sides of 45-45-90 triangle.
What is x√2 hypotenuse and x's as the height and width.
400
Jessica would have to drive due north to get to her parents' house and due east to get to her grandparents' house. It is 12 kilometers from Jessica's house to her parents' house and a straight-line distance of 20 kilometers from her parents' house to her grandparents' house. How far is Jessica from her grandparents' house?
What is 16 kilometers
400
Why is 3.5, 2.9, 4.55 not a Pythagorean Triple?
What is not integer values.
400
When using the Pythagorean theorem what always has to be true about the triangle?
What is right angle must be present.
400
Given a 45-45-90 triangle with a hypotenuse of √128 feet what are the sides?
What is 8 feet and 8 feet
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