Problem Set 2
- Lora Dunlap
1. Use the Pythagorean Theorem to find the hypotenuse for the following set of legs, and show that it works, geometrically.
a) 3 and 4 b) 5 and 12 c) 7 and 24 d) 8 and 8
Geogebra Applet for Problem 1
2. Find another pythagorean triple based off one of the above right triangles. Show that it is a Pythagorean Triple.
Geogebra Applet for Problem 2
3. Is there a way to calculate a pythagorean triple?
a) For x = 7, find and . Check to see if these three values make a right triangle. b) For x = 8, find and . Check to see if these three values make a right triangle. c) Do you have any conjectures? Test it. Prove it. This problem was “brought” to you by Plato (plus.math.org).