Point P lies inside square ABCD such that triangle ABP is equilateral. Find (angle) PCD in degrees.

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\(\)Point \(P\) lies inside square \(ABCD\) such that triangle \(ABP\) is equilateral. Find \(\angle PCD\) in degrees.

Guest Oct 9, 2020

Melody · Answer 1 · 2020-10-10T08:34:25

Hints:

Let the length of sides be 2 units.

Let E be the midpoint of DC

and

Let F be the midpoint of AB

Find PF

Find PE

Use trig to find angle C in triangle CEP

Please let guest do it from here.

Guest · Answer 2 · 2020-10-10T10:30:06

hint : triangle BPC is an isosceles triangle