Question

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

Answer 1

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:

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

So the value of x is 11.2