Pythagorean Theorem
Pythagorean triple
a set of three positive integers that work in the pythagorean theorem
A right triangles is also equilateral.
never
Right triangles have
2 legs (a and b) and a hypotenuse (c)
In Greenwood, 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 1 mile and the distance between the courthouse and the city pool is 4 miles, how far is the library from the community pool?
3.9
A triangle has sides with lengths of 14 inches, 14 inches, and 19 inches. Is it a right triangle?
No
Eli is mountain climbing with Austin and has just climbed a 7-meter vertical rock face. Austin is standing 6 meters away from the bottom of the cliff, looking up at Eli. How far away are Eli and Austin?
9.2
On the school playground, the slide is 9 meters due west of the tire swing and 3 meters due south of the monkey bars. What is the distance between the tire swing and the monkey bars?
9.5
A triangle has sides with lengths of 6 yards, 8 yards, and 10 yards. Is it a right triangle?
Yes
right triangle
a triangle with one right angle
A flying squirrel's nest is 7 meters high in a tree. From its nest, the flying squirrel glides 9 meters to reach an acorn that is on the ground. How far is the acorn from the base of the tree?
5.7
A mouse has made holes in opposite corners of a rectangular kitchen. The width of the kitchen is 4 meters and the distance between the mouse's holes is 7 meters. What is the length of the kitchen?
5.7
Whenever he visits Fairfax, Jamie has to drive 5 miles due north from home. Whenever he visits Hampton, he has to drive 6 miles due east from home. How far apart are Fairfax and Hampton, measured in a straight line?
7.8
A triangle has sides with lengths of 12 centimeters, 16 centimeters, and 19 centimeters. Is it a right triangle?
No
A triangle has sides with lengths of 4 kilometers, 7 kilometers, and 10 kilometers. Is it a right triangle?
No
Pythagorean Theorem
a²+b²=c²
