Simplifying Square Roots
What is √36?
6
What is the Pythagorean Theorem?
a2 + b2 = c2
Is 3/5 rational or irrational ?
rational
To find the length of a segment in a coordinate plane, you can use the ______ formula.
distance
What do you multiply to get the hypotenuse in a 45-45-90 triangle?
leg times √2
What is √12 ?
2√3
Describe where the hypotenuse is located on a right triangle.
The side of the triangle that is across from the right angle.
Is √8 rational or irrational?
Irrational
Find the midpoint of the line with the end points (-1, 2) and (1, -3).
(0, -1/2)
True or false.
On a 30-60-90 triangle, the legs have the same length.
False
What is √63 ?
3√7
The legs of a right triangle are 7 and 6. What is the hypotenuse?
√85
Complete the statement using <, >, or =
√11 ____ √9
>
If point M is the midpoint of line segment AB, how are AM and MB related?
They are the same length. Both half the distance of AB.
The hypotenuse is 18 on a 30-60-90 triangle. What is the length of the shorter leg?
9
What is √250 ?
5√10
The lengths of a triangle are 6, 8, and 10. Explain how can determine whether the triangle is a right triangle.
62 + 82 = 102
36 + 64 = 100
100 = 100
Complete the statement using <, >, or =
√16 _____ 8/3
>
What is the midpoint formula?
Mrs. Kensler needs to write on board.
The longer leg of a 30-60-90 triangle is 6√3. What is the hypotenuse?
12
What is √12 / √36
√3 / 3
You start driving North for 11 miles then turn right to drive East for 15 miles. How many miles are between where you began driving and stopped driving? (Round your answer to the nearest tenth)
18.6 miles
Complete the statement using always, sometimes, or never.
A real number is _______ a rational number.
sometimes
What is the distance formula?
√(x2 - x1)2 + (y2 - y1)2
The hypotenuse of a 45-45-90 triangle is 20. What is the length of a leg?
10√2