<p>In the diagram, \(AB=2x\) cm, \(BC=3x\) cm and \(AC=4x\) cm.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1767409031527-gqqzsbyh20c.png" style="max-width: min(200px, 100%); height: auto; display: block;" alt="Triangle ABC with side lengths in terms of x" class="aligncenter custom-width" /></figure></div>
<p>Given that the area of \(\Delta ABC\) is \(12\sqrt{15}\) cm\({}^2\), calculate the value of \(x\).</p>

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 \(x\).

Deducing Side Lengths via the Law of Cosines

Deducing Side Lengths via the Law of Cosines

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