Question 1172290
Please check my work, thank you.

2. A 30-60-90 triangle has a hypotenuse of 10. Use special right triangle formulas to find the long side. Explain your work.
Hypotenuse = x : x√3 : 2x
Hyp  -  5 x 2 = 10
<s>Longest</s> Longer leg is 5 (square rt3) which will be 8.660

Long side = 8.660
<pre>You're correect!
A 30-60-90 right triangle has: {{{matrix(3,3, "Hypotenuse:", "=", 2x, Longer, "leg:", x*sqrt(3), Shorter, "leg:", x)}}}
With a hypotenuse of 10, we get: {{{matrix(3,3, 2x, "=", 10, x, "=", 10/2, x, "=", 5)}}}
It appears that you're looking for the Longer leg, so: {{{highlight_green(matrix(1,9, Longer, leg, "=", x*sqrt(3), "=", 5sqrt(3), or, 8.66, units))}}}