Finding the Hypotenuse
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with legs 3 and 4 cm long.
5 cm
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=10.
b = 8
In terms of a, b, and c, what is the Pythagorean Theorem?
a2 + b2 = c2
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
Yes
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=9 and c=20.
a = 17.9
In terms of legs and hypotenuse, what is the Pythagorean Theorem?
leg2 + leg2 = hypotenuse2
An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?
15.5 inches
Prove that 6, 8, and 10 is a pythagorean triad
62 + 82 = 102
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=10 and c=15.
a = 11.2
When using the Pythagorean Theorem, which side does c always have to be?
The hypotenuse and the longest side
A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?
12 feet
Given that 5 is the smallest number in the triad, find the middle number
12
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=1 and c=4.
a = 3.9
What must be true about your triangle in order to use the Pythagorean Theorem?
It must be a right triangle.
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
Given that 33 is the smallest number in the triad, find the biggest number
65
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.
20
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=9.
b = 6.7
Who is credited with discovering the Pythagorean Theorem?
Pythagoras
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
Given that x = 11 and y = 4, find the pythagorean triad
88,105, 137