Pythagorean Theorem
45-45-90
30-60-90
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Vocabulary
100
Solve for the hypotenuse if a = 12 and b = 9.
What is 15.
100
One leg is 25, what is the hypotenuse?
What is 25(sqrt 2).
100
Solve for x and y if across from the 30 degrees is 11, 60 degrees is y, and 90 degrees is x.
What is x =22; y = 11(sqrt 3).
100
(sqrt 32)
What is 4(sqrt 2).
100
Define an acute triangle.
What is all three angles are less than 90 degrees.
200
Solve for the hypotenuse if b = 12 and a = 32. Round to the nearest whole number.
What is 34.
200
If the hypotenuse is 17, what is one leg in simplest radical form?
What is 8.5(sqrt 2).
200
Solve for x and y if across from the 30 degrees is y, across from the 60 degrees is x, and across from the 90 degrees is 8(sqrt3).
What is x = 12; y = 4(sqrt3).
200
(sqrt 75)
What is 5(sqrt 3).
200
Define an obtuse triangle.
What is one angle is greater than 90 degrees.
300
Solve for the missing leg if the hypotenuse is 13 and one leg is 12.
What is 5.
300
Determine the length of the leg of 45-45-90 triangle with a hypotenuse length of 26.
What is 13(sqrt 2).
300
Solve for x and y if across from the 30 degrees is 20, across from the 60 degrees is x, and across from the 90 degrees is y.
What is x = 20(sqrt3); y = 40.
300
(sqrt 50) times (sqrt 10).
What is 10(sqrt 5).
300
Define a right triangle.
What is one angle is exactly 90 degrees.
400
In a rectangle, the length is 31 and the width is 14. Solve for a diagonal. Round to the nearest whole number.
What is 34.0
400
Find the length of the hypotenuse of a 45-45-90 triangle with a leg length of 50 cm? Don't forget units!
What is 50(sqrt 2) cm.
400
An equilateral triangle has an altitude length of 33 feet. determine the length of a side of the triangle.
What is 22(sqrt3).
400
(sqrt 288/147)
What is 4(sqrt6)/7
400
True or False: A right triangle is always scalene.
What is FALSE.
500
Name a common Pythagorean Triple with a 5 in it.
What is 3-4-5 or 5-12-13.
500
What is the hypotenuse if one side is 5(sqrt 2)?
What is 10.
500
The equilateral triangle has an altitude length of 27 feet. Determine the length of a side of the triangle.
What is 18(sqrt3).
500
(sqrt 128) / (sqrt 5)
What is 8(sqrt 10)/ 5.
500
True or False: An isosceles triangle is always a right triangle.
What is FALSE.
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