[tex]Area = 25\sqrt{3}[/tex]
[tex]Height = 5\sqrt{3}[/tex]
To find the height and area of an equilateral triangle we can start by finding the area using the following equation
[tex]Area =\frac{\sqrt{3}}{4} side^2\\Area =\frac{\sqrt{3}}{4} 10^2\\Area =\frac{\sqrt{3}}{4} 100\\[/tex]
Which then simplifies down to
[tex]Area = 25\sqrt{3}[/tex]
Next, we can find the height using the following equation
[tex]Height = \frac{side\sqrt{3} }{2} \\Height = \frac{10\sqrt{3} }{2}[/tex]
which then simplifies down to
[tex]Height = 5\sqrt{3}[/tex]
If this helped you a Brainliest would be much appreciated!
