Vocabulary
What are the sides of the triangle next to the right angle?
Legs
Letters "a" and "b" are used to represent which part of a right triangle?
leg
When one leg=3 and the hypotenuse=5 then the other leg=?
4
When one leg=3 and the other leg=4 then the hypotenuse=?
the square root of 25
or 5
Determine whether the triangle with sides 2, 4, and 5 is a right Triangle.
No, 20 does not equal 25
The spelling of the theorem we have been talking about.
p-y-t-h-a-g-o-r-e-a-n.
What is the side of the triangle across from the right angle? (*Side c)
Hypotenuse
The letter in the formula that stands for the length of the hypotenuse of a right triangle
c
When one leg=6 and the hypotenuse=10 then the other leg=?
8
When one leg=3 and the other leg=5 then the hypotenuse=?
the square root of 34
or 5.8
Determine whether the triangle with sides 3, 4, and 5 is a right Triangle.
Yes, 25 = 25
The only type of triangle you can use the pythagorean theorem on.
a right triangle
What is the formula for the Pythagorean Theorem?
a^2+b^2=c^2
What do we call multiplying a number by itself?
squaring a number
When one leg=5 and the hypotenuse=13 then the other leg=?
12
When one leg=6 and the other leg=7 then the hypotenuse=?
the square root of 85
or 9.2
Determine whether the triangle with sides 7, 24, and 25 is a right Triangle.
Yes, 625 = 625
Ashlee needs to use a ladder to get onto the roof. The height of the house is about 12 feet. The ladder will be placed 5 feet from the house. What is the minimum height that the ladder can be to safely reach the roof of the house?
13 feet
What is the only type of triangle that works with the Pythagorean Theorem. (Or a triangle with an angle measuring 90 degrees)
Right Triangle
The side that always has the longest length in a right triangle
hypotenuse
When one leg=7 and the hypotenuse=25 then the other leg=?
24
When one leg=10 and the other leg=9 then the hypotenuse=?
the square root of 181
or 13.5
Determine whether the triangle with sides 8, 10, and 14 is a right Triangle.
No, 164 does not equal 196
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.
15 feet
What is the name of the guy who discovered the Pythagorean Theorem?
Pythagoras
The operation we used to "get rid" of something squared.
taking the square root
When one leg=21 and the hypotenuse=35 then the other leg=?
28
When one leg=15 and the other leg=22 then the hypotenuse=?
the square root of 709
or 26.6
Determine whether the triangle with sides .5, 1.2, and 1.3 is a right Triangle.
Yes, 1.69 = 1.69
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. What is the length of the ladder?
20 feet