How do you find the height of a triangle if the base is 10 centimeters and the length of one side is 6 cm?

Erm, is it an isosceles?

If so, a bit of pythagoras will help, how can you turn your triangle into 2 identical right angled triangles? What are the lengths of the sides? How can you use pythagoras' theorem to get the result you need?

Simply put you cannot solve this unless you have more information... Is it a right triangle? Use the Pythagorean Thm. If not... What's the angle (law of sines and cosines)... there is more than one way to skin a cat but you need one more piece of info before you pull out that knife.

Simply put you cannot solve this unless you have more information...........Is it a right triangle? use the Pythagorean Thm. If not........What's the angle (law of sines and cosines)..........there is more than one way to skin a cat but you need one more piece of info b4 you pull out that knife.

Exactly - with any three pieces of information you can solve any triangle - 2 sides and an angle, two angles and a side, but three minimum. Good luck!
:)