Distance Formula
Hypotenuse
Legs
Word Problems
Vocabulary
100
Find the distance between (1,4) and (4,0)
The distance between these coordinates is 5
100
42+32=Hyp2
Hypotenuse is 5
100
52+Leg2=92
Leg equals 2
100
Rosa just went down the slide at the playground. She walks 4 feet to get from the end of the slide back to the ladder. Then she climbs 3 feet to the top of the slide again. How long is the slide?
The slide is 5 feet long.
100
What is the hypotenuse?
The longest side of a right triangle.
200
Whats the distance between (2,4) and
(4,6)
2.82
200
Leg=10
Leg=12
Hyp=???
15.62
200
Hyp=55
Leg=4
Leg=???
54.85
200
In Belleville, 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 15 miles, how far is the library from the community pool?
The library is 9 miles from the community pool.
200
What's a right angle triangle?
A right-angled triangle (also called a right triangle)
is a triangle with a right angle (90°) in it.
300
Whats the distance between (4,25) and
(20,35)
18.86
300
Leg=30000
Leg=600
Hyp=???
Hyp=30005.99
Rounded 30006
300
Leg=8
300
Harry is mountain climbing with Megan and has just climbed a 15-meter vertical rock face. Megan is standing at the bottom of the cliff, looking up at Harry. If Megan is 17 meters away from Harry, how far away from the cliff is Megan standing?
Megan is standing 8 meters away from the cliff.
300
What is equilibrium?
When all three sides of the right angel triangle are equivalent
400
Whats the distance between (55,25) and
(25,35)
31.62
400
Leg=600
Leg=200
Hyp=???
632.45
Rounded 632.46
400
Hyp=25
Leg=24
Leg=???
Leg=7
400
Ernesto is admiring a statue in Greenville Park. The statue is 12 feet taller than he is, and Ernesto is standing 16 feet away. How far is it from the top of the statue to Ernesto's head?
The distance between the top of the statue and Ernesto's head is 20 feet.
400
Who is the founder of the Pythagorean Theorem
This famous theorem is named for the Greek mathematician and philosopher, Pythagoras.
500
5
500
Leg=18943
Leg=21095
Hyp=???
28352.00
500
Hyp=20
Leg=8
Leg=??
leg=18.33
500
In Campbell, 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 4 kilometers and the distance between the courthouse and the city pool is 5 kilometers, how far is the library from the community pool?
The library is 3 kilometers from the community pool.
500
What is a leg?
If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.