Simplifying Square Roots and Squared #'s
√9 =
3
Estimate √10 to the nearest whole number
3
Do irrational numbers terminate?
No
What is the formula for the Pythagorean Theorem?
a2 + b2 = c2
What is the longest side of a right triangle called?
Hypotenuse
72 =
49
Estimate √34 to the nearest whole number
6
Is 31.4564778.... rational?
No
When one leg=3 and the other leg=4 then the hypotenuse=?
5
In the Pythagorean Theorem, letters "a" and "b" are used to represent which part of a right triangle?
√36=
6
√5 is between what two numbers?
2 and 3
Is -365 rational or irrational? Why?
Rational because it is an integer (whole number that's negative)
When one leg=5 and the other leg=6 then the hypotenuse=?
√61
The word that means to multiply a number by itself?
“Square”
92 =
81
√45 is between what two numbers?
6 and 7
Is 11 rational or irrational? why?
Rational because it is a whole number and can be written as a fraction.
Find the distance between the points. Use the back of the whiteboard.
(1,3), (4,1)
√13
The only type of triangle for which the Pythagorean Theorem is true.
Right triangle (one that contains a 90 degree angle)
√144=
12
√134 is between what two numbers?
11 and 12
The definition of irrational numbers
Irrational: non-repeating decimals that do not terminate
Find the distance between the points.
(-3,1), (4,-3)
√65
What information do you need to know about a right triangle in order use the Pythagorean Theorem?
At least two side lengths.