Question

n a right-angled triangle ABC, AB = 10 3 cm and BC = 20 cm, ∠A = 90°. An equilateral triangle
ABD is constructed with base AB and with vertex D, at a maximum possible distance from C. Find
the length of CD.​

Answer 1

please refer fig.

we have two option for that equilateral triangle ∆acd & ∆acd' but we have find max possible distance from point c there fore consider ∆acd

for remaining please check attachment.