Is it possible that on an isosceles triangle if you put squares on the sides, that two of those squares will equal the third?
ie: If the side lengths were 3,3,5 the squares would be 3x3 , 3x3, and 5x5
I do not know what your math level is but I am going to keep its as simple as possible. You said that when you form squares and the sides and add them you get the square of the third side, thus, in algebraic terms,Originally Posted by Kitty_Kat
- but this is the Pythagorean Theorem. Thus, we must have a right triangle. Now you said that it is isoseles. Thus, two sides are equal. Thus, two of the angles must also be equal. Since one angle is already 90 degrees the other two angles must add up to 90 degrees also because the sum of the angles of ANY triangle is 180. Thus, the other two angles must be 45 and 45. Finally, there is a theorem about a 45-45-90 triangle that says if the smaller sides are then the biggest side (hypotenuse) is
Originally Posted by ThePerfectHacker
Well I'm a grade 8 student. I think it's impossible for an isosceles triangle to be part of the pythegorean theorem because if two sides are always the same , as well as angles then wouldn't two of the sides always be equal leaveing the third side on it's own? So I think it's impossible but I need to prove it. The pythegorean Theorem may not work for isosceles triangles.