Hypotenuse
Leg
Pythagorean
Theorem
Theorem
Word Problems
Converse of
Pythagorean Theorem
Pythagorean Theorem
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=1 and c=4.
a = 3.9
500
What must be true about your triangle in order to use the Pythagorean Theorem?
It must be a right triangle.
500
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
NO
sides squared =5,161
hypotenuse squared = 5184
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=10 and c=15.
a = 11.2
500
When using the Pythagorean Theorem, which side does c always have to be?
The hypotenuse and the longest side
500
A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?
12 feet
500
Would a triangle with side lengths 5in, 12in, and 13in form a right triangle?
YES
25+144=169
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=9 and c=20.
a = 17.9
500
In terms of legs and hypotenuse, what is the Pythagorean Theorem?
leg2 + leg2 = hypotenuse2
500
An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?
15.5 inches
500
NO
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with legs 3 and 4 cm long.
5 cm
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=10.
b = 8
500
In terms of a, b, and c, what is the Pythagorean Theorem?
a2 + b2 = c2
500
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
500
Would a triangle with side lengths 6,10,and 8 inches form a right triangle?
yes
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.
20
500
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=9.
b = 6.7
500
Who is credited with discovering the Pythagorean Theorem?
Pythagoras
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
500
?
NO