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