Pythagorean Theorme
Cindy is in a hot air balloon that has just taken off and is now floating 8 meters above its launching point. Layla is standing on the ground, 6 meters away from the launching point. How far apart are Cindy and Layla?
10 meters
Mrs. Conley is teaching a 5th grade class. She is standing 16 feet in front of Martin. Layla is sitting to Martin's right. If Layla and Mrs. Conley are 20 feet apart, how far apart are Martin and Layla?
12 feet
Three ballet dancers are positioned on stage. If Randy is 5 meters straight behind Lacey and 12 meters directly left of Colin, how far is Lacey from Colin?
13 meters
The floor of storage unit is 9 meters long and 12 meters wide. What is the distance between two opposite corners of the floor?
15
In Dayton, the library is due south of the courthouse and due west of the community swimming pool. If the distance between the library and the courthouse is 12 miles and the distance between the courthouse and the city pool is 20 miles, how far is the library from the community pool?
16
To get to his parents' house, Blake would have to drive due north 15 miles. To get to his grandparents' house, he would have to drive due east 8 miles. What is the straight-line distance between the parents' and grandparents' houses?
17
Justin's bedroom is rectangular. The length of one wall of Justin's bedroom is 2 meters. The length from one corner of the bedroom to the diagonally opposite corner is 4 meters. What is the length of the other wall? If necessary, round to the nearest tenth.
3.5
Bella takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. The cut she makes is 13 inches long and the width of the paper is 12 inches. What is the paper's length?
5 inches
Mr. Pena is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Pena's son is holding it steady. How long is the ladder?
5 meters
A slide is 10 feet long and 8 feet high. How long is its base, from the bottom of the ladder to the end of the slide?
6 feet
A hummingbird's nest is 6 meters high in a tree and a flower is on the ground 5 meters away from the base of the tree. How far will the hummingbird need to fly to get from its nest to the flower? round to the nearest tenth
7.8
a square's side is 6, what is the diagonal of the square?
8.5
The length of Shontal's rectangular living room is 12 meters and the distance between opposite corners is 15 meters. What is the width of Shontal's living room?
9 meters
To get to her parents' house, Kate would have to drive due north 3 miles. To get to her grandparents' house, she would have to drive due east 9 miles. What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.
9.5
Pythagorean Theorem
a²+b²=c²