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=(13\cdot1.73)/(2) \\ x=11.2 \end{gathered}`

So the value of x is 11.2