Vocabulary
The sides of a triangle that form the right angle is called the _________ of the triangle.
legs
When one leg=3 and the hypotenuse=5 then the other leg=?
4
If the c2 = a2 +b2, then the triangle is classified as a __________ triangle.
right
A letter in the formula that stands for the length of one leg of a right triangle
What is "a" or "b"?
Without doing any calculations, how do you know that the measures 23, 6, and 23.8 is not a pythagorean triple?
Because pythagorean triples are integers and 23.8 is not an integer.
The side across the right angle is called the _______________
Hypotenuse
The standard 3, 4, 5 right triangle is an example of a __________ ___________
pythagorean triple
The side lengths of a triangle are 5, 9, and 8. The triangle is classified as a(n) _________ triangle.
acute
The letter in the formula that stands for the length of the hypotenuse of a right triangle
What is "c?"
A 16-foot ladder is leaning against a building 15.5 feet above the ground. How far away is the foot of the ladder from the base of the building?
4 feet
The equation for the Pythagorean Theorem is ______________
a2+b2 = c2
True or False: The Pythagorean Theorem is used to only find the hypotenuse?
False
If 6 and 7 are the lengths of the 2 smaller sides of a triangle, then what should be the length of the other side so the triangle can be classified as a right triangle?
The square root of 85
How do you simplify (7 square root of 5) squared without a calculator?
You square the 7 and square the square root of 5 an that gives you 49 times 5 which equals 245.
A triangle has one side of length 12 and another length of 8, Describe the possible lengths of the third side.
The length must be greater than 4 but less than 20.
To determine if three lengths can form a right triangle, we use the ______________.
Converse of the Pythagorean theorem
They hypotenuse is the ____________ side of the triangle.
Longest
The side lengths of a triangle are 5, 11, and 7. Classify the triangle.
Obtuse
How do you spell the word " "?
H-Y-P-O-T-E-N-U-S-E
Construction workers are building a ramp. The ramp is 9 feet high and 12 feet long. This is the length of the slanted part of the ramp.
What is 15 feet?
The triangle inequality theorem is used to determine if the lengths given for a _____, ______, or _______ triangle
right, acute, obtuse
Given a right triangle, if the the length of one leg is 8 and the hypotenuse is square root of 73, what is the length of the other leg?
3
Describe the error: The lengths 2, 8, and 10 describe the lengths of an obtuse triangle.
Those lengths can not be used to form a triangle because 2 + 8 is not greater than 10.
A right triangle has side lengths 35 ft, x ft, and 80 ft, where 80 ft is the longest side. What is the perimeter of the triangle? Round your answer to the nearest foot.
about 187 ft
Roofers need to know how long of a ladder they need. The roof is 16 feet high and the bottom of the ladder will be placed 12 feet from the building. This is the length of the ladder.
What is 20 feet?