Hypotenuse
Leg
Word Problems
Converse of
Pythagorean Theorem
Pythagorean Theorem
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with legs 3 and 4 cm long.
5 cm
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=10.
b = 8
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
100
Would a triangle with side lengths 6,10,and 8 inches form a right triangle?
yes
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=9 and c=20.
a = 17.9
200
An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?
15.5 inches
200
NO
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=10 and c=15.
a = 11.2
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
300
Would a triangle with side lengths 5in, 12in, and 13in form a right triangle?
YES
25+144=169
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
400
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=1 and c=4.
a = 3.9
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
400
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 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
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