Length of the sides of a right triangle

Question

I know the three angles of a right triangle and I know the length of the base = 90, 45, 45. The base length = .05. Can you please give me a (the) formula to find the length of the non-hypotenuse side? If possible could you please give me an example of the formula using the given measurements? Just so you, what I am asking is not an academic homework question. I graduated aeons ago. This is a practical question in that I have a CNC machine which I use to carve in wood. The software allows me to lay out design vectors at any given distance apart. One of the cutting bits used in the process is a V shaped bit which cuts between two vectors. The bit descends into the wood until both of its sides reach those two vectors. What I want to be able to do is determine the depth of that cut.

Thanks,

Mark

Answer 1

If the angles are 45,45,90 this is a special right triangle.

If the base is x, then the other leg is x, and the hypotenuse is x √2

(this comes from Pythagorean Theorem)

so if your base is 0.05, your hypotenuse is 0.05 √2