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
True or False: Triangle Inequality Theorem tells you if a triangle is a right triangle or not
False! It tells you whether it is even a triangle or not
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
Can all legs (a & b) and hypotenuse (c) values be interchangeable?
NO! Only a & b are interchangeable
An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?
15.5 inches
Will the lengths 3, 9, & 4 form a triangle?
No
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
Will the lengths 114, 97, & 35 form a triangle?
Yes
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
If a = 57 and c = 234, then b has to be greater than what number to form a triangle?
b > 177
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
A triangle has two side lengths 58 and 18. Complete the inequality that can be used to form a triangle.
40 < x < 76