- #1
Terry Coates
- 39
- 2
- Homework Statement
- Is it significant that the angle between x and y in a triangle sides x y and z based in the equation below , is dependent on the ratio x/y when n is greater than 2 yet is always 90 degrees when n = 2?
- Relevant Equations
- x^n + y^n - z^n = 0
n = 3,x = 1, y = 10 z = (10^3 +9^3)^(1/3 = (1000 + 1729)^1/3
Cos (Angle xy) = (x^2 +y^2-z^2)/(2 x.y)
n = 2,x= 3, y=4 z = (3^2 +4^2)^0.5 = 5
Cos (Angle xy) = (3^2 +4^2 -5^2)/(2.3.4) = cos (0) = 1
Cos (Angle xy) = (x^2 +y^2-z^2)/(2 x.y)
n = 2,x= 3, y=4 z = (3^2 +4^2)^0.5 = 5
Cos (Angle xy) = (3^2 +4^2 -5^2)/(2.3.4) = cos (0) = 1