Answer
(c). 3, 3$\sqrt 3$
Work Step by Step
Given in a 30°–60°–90° triangle-
Longest side = 6
The longest side of a 30°–60°–90° triangle is twice the shortest side and the side opposite the 60° angle is $\sqrt 3$ times the shortest side.
Given that
Longest side = 6
Therefore
Shortest side = $\frac{longest side}{2}$ = $\frac{6}{2}$ = 3
Side opposite 60° = $\sqrt 3\times $ shortest side = $\sqrt 3 \times$3 = 3$\sqrt 3$
Side opposite 60° = 3$\sqrt 3$
Hence remaining sides are 3, 3$\sqrt 3$
