Question 1155496
what are the missing side lengths (in simple radical form)?

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<pre>Shorter leg (opposite smaller acute angle) = 8√3
With this being a 30-60-90 right triangle, the longer leg or {{{highlight_green(matrix(1,14, SU, "=", SHORTER, LEG, "*", sqrt(3), "=", 8sqrt(3), "*", sqrt(3), "=", 8(3), "=", 24))}}}
                                    Also, the hypotenuse, or {{{highlight_green(matrix(1,12, TU, "=", 2, "*", SHORTER, LEG, "=", 2, "*", 8sqrt(3), "=", 16sqrt(3)))}}}