Question

✷ABCD is convex quadrilateral such that △ABD is equilateral. BC = 15, CD = 10√
3 and m∠BCD = 30. Find area of
✷ABCD.

Answer 1

Answer:

In △ABD and △BAC,

AD=BC (Given)

∠DAB=∠CBA (Given)

AB=BA (Common)

∴△ABD≅△BAC (By SAS congruence rule)

∴BD=AC (By CPCT)

And, ∠ABD=∠BAC (By CPCT)