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40 votes
Solve for x. round to nearest tenth. angle DEF is an equilateral triangle. hyp is 24

User OldManSeph
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1 Answer

14 votes
14 votes

Since the triangle DEF is an equilateral triangle and x is the height of this triangle, we can use the following formula for the height of an equilateral triangle:


h=\frac{l\sqrt[]{3}}{2}

Where 'l' is the length of the triangle side.

So, using l = 13, we have:


\begin{gathered} x=\frac{13\cdot\sqrt[]{3}}{2} \\ x=(13\cdot1.73)/(2) \\ x=11.2 \end{gathered}

So the value of x is 11.2

User EralpB
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