Vocabulary
What is the formula for the Pythagorean Theorem?
a^2 + b^2 = c^2
What is the square root of 49? (round to the nearest tenth if necessary)
7
What is the only type of triangle you can use the Pythagorean Theorem on?
Right triangle
Find the hypotenuse c, when a = 3 and b = 4. (round to the nearest tenth if necessary)
5
John leaves school to go home. He walks 6 blocks north and then 8 blocks west. How far is John from the school? *Remember to include units with your answer and round to the nearest tenth if necessary.
10 blocks
What is the opposite side to the right angle in a triangle called?
Hypotenuse
What is the square root of 63? (round to the nearest tenth if necessary)
7.9
Spell the theorem we have been talking about.
P-y-t-h-a-g-o-r-e-a-n
Find a if b = 5 and c = 10. (round to the nearest tenth if necessary)
8.7
Find the height of a tree if there is a ladder leaning against it that is 11 feet tall and it is 5 feet away from the base of the tree. *Remember to include units with your answer and round to the nearest tenth if necessary.
9.8 feet
Either of the sides (a and b) in a right triangle opposite an acute angle are called?
Legs
What is the square root of 581? (round to the nearest tenth if necessary)
24.1
What do we call multiplying a number by itself?
Squaring a number
Find the hypotenuse c, when a = 8 and b = 15 (round to the nearest tenth if necessary)
17
Joshua won a laptop in a school raffle. The laptop screen measures 10 inches in height and 24 inches in width. Find the diagonal length of the laptop screen. *Remember to include units with your answer and round to the nearest tenth if necessary.
26 inches
Who was the person who came up with the Pythagorean Theorem?
Pythagoras
What is the square root of 400? (round to the nearest tenth if necessary)
20
What is the side that always has the longest length in a right triangle?
Hypotenuse
Find the hypotenuse c, when a = 15 and b = 21. (round to the nearest tenth if necessary)
25.8
A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall. *Remember to include units with your answer and round to the nearest tenth if necessary.
5 meters
When was Pythagorean Theorem discovered?
580 BC - 500 BC
What is the negative square root of 20? (round to the nearest tenth if necessary)
-4.5
What is the inverse operation of "squaring a number"?
Square Root
If the hypotenuse is twice "a" and "a" is 7, what is b? (round to the nearest tenth if necessary)
12.1
Rachel bought a rug for her apartment. The rug is 11 feet long and 9 feet wide. Find the diagonal length of the rug. *Remember to include units with your answer and round to the nearest tenth if necessary.
14.2 feet