In the diagram, $AB=2x$ cm, $BC=3x$ cm and $AC=4x$ cm. Given that the area of $\Delta ABC$ i

Question

In the diagram, $AB=2x$ cm, $BC=3x$ cm and $AC=4x$ cm. Given that the area of $\Delta ABC$ is $12\sqrt{15}$ cm${}^2$, calculate the value of $x$.

Accepted Answer

$4$

Deducing Side Lengths via the Law of Cosines