Theorem
In terms of a, b, and c, what is the Pythagorean Theorem?
a2 + b2 = c2
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with legs 3 and 4 inches long
5 inches
In the Pythagorean theorem a2 + b2 = c2, what are a and b called?
Legs
Name all of the categories that the number 102 belongs to.
Natural, Whole, Integer, Rational
In terms of legs and hypotenuse, what is the Pythagorean Theorem?
leg2 + leg2 = hypotenuse2
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
In the Pythagorean theorem a2 + b2 = c2, what is "c" called?
Hypotenuse
The square root of an imperfect square is what type of number.
irrational number
When using the Pythagorean Theorem, which side does c always have to be?
The hypotenuse and the longest side
The side directly opposite of the right angle
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
What is a factor of a number that, when multiplied by itself, gives the original number?
Square Root
Define Rational Number.
Any number that can be turned into a fraction.
What must be true about your triangle in order to use the Pythagorean Theorem?
It must be a right triangle.
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
What do we call a 90 degree angle?
A Right Angle
Am I a right triangle
14, 19, 23
no
True or False
The Pythagorean Theorem works on ALL triangles
False, it only works on right triangles
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.
Wha do we call the sign used to find a square root?
Radical sign
Am I a right triangle (prove it)
1.4, 4.8, 5
yes