Simplifying Radicals
Pythagorean Theorem
Special Right Triangles
Triangle Midsegment Th.
MYSTERY!! (0_0)
100
√144
12
100
Find the hypotenuse of the triangle with legs length 9 and 40.
41
100
In a 45-45-90 triangle, one leg measures 3√6 inches. What is the measure of the hypotenuse?
6√3 inches
100
Draw an example of a midsegment of a triangle.
Answers will vary
100
What is true about the legs of a 45-45-90 triangle?
They are congruent.
200
√18
3√2
200
Find the second leg of a triangle with hypotenuse measuring 65 and leg measuring 33.
56
200
In a 30-60-90 triangle, the short leg measures 7 inches. What are the measures of the long leg and the hypotenuse?
Long leg=7√3 inches Hypotenuse=14 inches
200
The midsegment of a triange is _____the length of the side it is parallel to.
1/2
200
Which side of a right triangle is ALWAYS the longest?
Hypotenuse
300
√9 X √15
3√5
300
Find the hypotenuse of a triangle with legs that measure √3 and √5.
2√2
300
In a 30-60-90 triangle the hypotenuse has a length of 4 feet. What is the measure of the long leg?
2√3
300
A side length of a triangle is _____the length of the midsegment it is parallel to.
twice
300
In a 30-60-90 triangle, which side is always across from the 60 degree angle?
long leg
400

 2√90

 6√10

400
Is this a right triangle? Legs measure 3 and 12, hypotenuse measuring 15. (Show all work!)
Yes!
400
In a 45-45-90 triangle, the hypotenuse measures 16 cm. How long is the leg?
8√2 cm
400
Find the length of the midsegment if its parallel side is 14 cm. 
14/2=7cm
400
What does it mean to "rationalize the denominator"?
Get rid of the radical sign in the denominator by multiplying both the numerator and denominator by the radical in the denominator.
500
(2√32)/(√8)
4
500
Is this a right triangle? Legs measure 15 and √207, hypotenuse measuring 12√3. (Show all work!)
Yes!
500
If the longest leg of a 30-60-90 triangle is 4√6 meters, what is the length of the hypotenuse?
8√2 meters
500
A triangle has a midsegment with a length of 11 mm.  What is the length of its parallel side?
11x2=22mm
500
Give a real-life example of how the Pythagorean Theorem could be used.
answers will vary
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