2024 SSMO Speed Round Problems/Problem 5

Problem

Let $\triangle ABC$ and $\triangle ADC$ be right triangles, such that $\angle ABC = \angle ADC = 90^\circ$ . Given that $\angle ACB = 30^\circ$ and $BC = 3\sqrt{3}$ , find the maximum possible length of $BD$ .

Page

Toolbox

Search

2024 SSMO Speed Round Problems/Problem 5

Problem

Solution