Proving Sides On Triangle
- Thread starter cobi
- Start date
- Joined
- Nov 24, 2012
- Messages
- 3,021
Hello, and welcome to FMH! 
Suppose we consider the base of the triangle to be and so the altitude is , and so the area of the triangle can be given as:
[MATH]A=\frac{1}{2}bc[/MATH]
Next, consider letting be the base of the triangle and the altitude, and so we may write:
[MATH]A=\frac{1}{2}ad[/MATH]
This then implies:
[MATH]bc=ad[/MATH]
Can you write in terms of the other two sides?
Suppose we consider the base of the triangle to be and so the altitude is , and so the area of the triangle can be given as:
[MATH]A=\frac{1}{2}bc[/MATH]
Next, consider letting be the base of the triangle and the altitude, and so we may write:
[MATH]A=\frac{1}{2}ad[/MATH]
This then implies:
[MATH]bc=ad[/MATH]
Can you write in terms of the other two sides?