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Vocabulary
Distance Formula
Pythagorean Theorem
Is This a Right Triangle?
Word Problems
100

In the Pythagorean Theorem, "a" stands for the ________.

Altitude/ Leg

100
The distance formula is derived (comes from) what other theorem?
Pythagorean Theorem
100
What is the formula for the Pythagorean Theorem?
a^2 + b^2 = c^2
100
Side lengths: 3, 4, 5
Yes, 25 = 25.
100

Sally walks away from her house. She walks 25 m west then 15 m south. How far, in meters, is she from her house?

29.2 meters

200

In the Pythagorean Theorem, "b" stands for the ________.

Base/Leg

200
Copy down the distance formula on your worksheet... d = sqrt [(x2 - x1)^2 +(y2-y1)^2]
Once everyone has finished copying it...FREE POINTS!
200
Find the length of the missing side: a = 3 b = 4 c = ? Find c
c = 5
200
Side lengths: 4, 5, 6.
No, 41 = 36
200

An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?

15.5 inches

300
In the Pythagorean Theorem, the longest side of a right triangle is called the ________. This is represented by the letter "c".
Hypotenuse.
300
Use the distance formula to find the distance between these two points: (3,7) and (15,12)
d = 13
300
Find the length of the missing side: a = 7 b = 24 c = ? Find c
c = 25
300
Side lengths: 30, 40, 50.
Yes, 2500 = 2500.
300

A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?

12 feet

400
In the Pythagorean Theorem, the altitude and base are called the _______ of the triangle. (Hint: There are two of them)
Legs.
400
Use the distance formula to find the distance between these two points: (2,4) and (4,8). Round to the nearest tenth.
d = sqrt(20) = 4.5
400
Both legs are 6 and 20. Find the hypotenuse.
c = 20.9
400
Side lengths: 30, 24, 18
Yes, 900 = 900.
400

Ed is flying a kite with a string 25 meters long. If his friend is directly under the kite 10 m away, how high, in meters, is the kite off the ground?

22.9 meters

500
Spell the formula which represents a^2 + b^2 = c^2.
PYTHAGOREAN THEOREM.
500
Use the distance formula to find the distance between these two points: (-2,5) and (14,-15). Round to the nearest tenth.
d = sqrt(656) = 25.6
500
Find the missing leg, if two sides are 12 and 15.
a = 9.
500
Side lengths: 27, 45, 36.
Yes, 2025 = 2025.
500

A football field is a rectangle 48 meters wide and 91 meters long. The coach asks players to run from corner to corner diagonally across the field. How far do the players run?

102.9 meters