Don't Be a Square
On Your Last Leg
Hypota-wha?
That Ain't Right....
Fact or fiction
100
Diagram #1: What is 4 squared?
16
100
How many legs does a right triangle have?
2
100
Spell hypotenuse. Just kidding. What letter in the Pythagorean Theorem represents the hypotenuse?
The letter c always represents the hypotenuse.
100
A triangle has sides with the following lengths: 3, 4, 5 Is it a right triangle? Show your work!
Yes
100
True or false: The legs are always represented by the variables a and b.
True!
200
Diagram #6: What is the square root of 81?
9
200
Diagram #7 Where are the legs located in relation to the 90 degree angle?
The legs are adjacent to (on either side of, next to, etc) the 90 degree angle.
200
Name two ways to identify the hypotenuse.
Acceptable Answers: 1- It is the longest side 2- It is opposite the 90 degree angle. 3- It is a diagonal (slanted, slanty, etc).
200
A triangle has sides with the following lengths: 9, 12, 14 Is it a right triangle? Show your work!
No!
200
True or false: The hypotenuse is always represented by the variable "a" in the Pythagorean Theorem. Double your points: If you think this is false, what variable do you think is used to represent the hypotenuse?
False! Double your points: It is always represented by the variable "c".
300
Diagram #11: What is 11 squared?
121
300
Diagram time: #12 A triangle has a leg measuring 4 inches and a hypotenuse measuring 5 inches. How long is the missing leg?
3 inches
300
DIAGRAM TIME: #13 Solve for the missing side on square 13.
The hypotenuse measures 25.
300
A triangle has sides with the following lengths: 11, 60, 61 Is it a right triangle? Show your work!
Yes!
300
True or False: The Pythagorean Theorem is only true for right triangles.
True!
400
Diagram #16: What is the square root of b^2?
b
400
DIAGRAM TIME- #17: Solve for the missing side on square 17.
Acceptable answers: square root of 125 or 11.18
400
DIAGRAM TIME: #18 Solve for the missing side on square 18.
Acceptable Answers: square root of 61 or 7.81
400
A triangle has sides with the following lengths: 9, 40, 41 Is it a right triangle? Show your work!
Yes!
400
True or false: The inverse operation of squaring a number is to multiply the number by two. Double your points: If you think this is false, what operation is the inverse operation of squaring a number?
False! Double your points: Finding the square root is the inverse operation of squaring a number.
500
Diagram #21: If c^2 = 64, what is c?
8
500
Joshua and Julio park their car and then hike 12 miles north, then head 5 miles east. If they take the shortest route home, how far do they hike to arrive at the car? Hint: Draw a diagram to help you solve this or look at Diagram #22.
13 miles
500
Your favorite movie theater is on the top of a hill. One day while waiting for some friends outside the theater, you don't see the "caution" sign and you fall through an open manhole cover. You fall 10 feet. At the bottom, you see a tunnel. You enter the tunnel and head towards the light. After walking 30 feet, you find yourself outside, looking up the hill at the movie theater. What is the shortest distance you have to walk to reach the theater? #23
Acceptable answers: the square root of 1000 OR 31.62 feet
500
A triangle has sides with the following lengths: 4, 7, 11 Is it a right triangle? Show your work!
No!
500
True or false: 25 is a perfect square. DAILY DOUBLE! double your points if you can explain why it is or is not a perfect square.
True! DAILY DOUBLE: it is a perfect square because its square root is a natural (whole) number. AKA: the square root of 25 is 5. 9, 16, and 36 are all examples of other perfect squares.
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