Question

Hi there, I am lost here and need some help

Answer 1

SOLUTION

The area of triangle ABC in terms of a and b is:

$A=\frac{1}{2}ab$

The area of triangle ABC in terms of c and h is:

$A=\frac{1}{2}ch$

Equating the areas gives:

$\frac{1}{2}ab=\frac{1}{2}ch$

Isolating h gives:

$\begin{gathered} ab=ch \\ h=\frac{ab}{c} \end{gathered}$

Hence the prove.