Not Yet completely finished... at least in my mind. Feel free to use this code in your own projects.

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace Geometry
{
    public class triangle
    {
        public triangle(double GivenBase, double GivenHeight, double GivenHypotenuse, string GivenType,
                        double GivenAA = 0, double GivenBA = 0, double GivenCA= 0)
        {
            Base_Length = GivenBase;
            Height_Length = GivenHeight;
            Hypotenuse_Length = GivenHypotenuse;
            if (GivenType == "right")
            {
                if (GivenAA != 0 || GivenBA != 0 || GivenCA != 0)
                {
                    A_Degrees = GivenAA;
                    B_Degrees = GivenBA;
                    C_Degrees = GivenCA;
                }
                else
                {
                    C_Degrees = 90;
                    B_Radians = Math.Asin(Base_Length / Hypotenuse_Length);
                    A_Radians = Math.Asin(Height_Length / Hypotenuse_Length);
                    B_Degrees = RadianToDegree(B_Radians);
                    A_Degrees = RadianToDegree(A_Radians);
                }

            }
            else
            {
                Type = GivenType;
                A_Degrees = GivenAA;
                B_Degrees = GivenBA;
                C_Degrees = GivenCA;
            }

        }

        private double Base_Length, Height_Length, Hypotenuse_Length;
        private double A_Degrees, B_Degrees, C_Degrees, A_Radians, B_Radians;
        string Type;

        private double RadianToDegree(double angle)
        {
            return angle * (180.0 / Math.PI);
        }

        public void WriteAngles()
        {
            Console.WriteLine("Angle A: {0,5}. Angle B: {1,5}. Angle C: {2,5}", A_Degrees.ToString(), B_Degrees.ToString(), C_Degrees.ToString());
        }

        public void WriteLengths()
        {
            Console.WriteLine("Base: {0,5}. Height: {1,5}. Hypotenuse: {2,5}.", Base_Length.ToString(), Height_Length.ToString(), Hypotenuse_Length.ToString());
        }

        public void WriteInfo()
        {
            WriteAngles();
            WriteLengths();
        }

        public double GetAngleA()
        {
            return A_Degrees;
        }
        public double GetAngleB()
        {
            return B_Degrees;
        }
        public double GetAngleC()
        {
            return C_Degrees;
        }
        public double GetBaseLength()
        {
            return Base_Length;
        }
        public double GetHeightLength()
        {
            return Height_Length;
        }
        public double GetHypotenuseLength()
        {
            return Hypotenuse_Length;
        }

    }
}