Respuesta :

The length of PD = 1.5

ΔABC is an equilateral triangle. P is a point on the minor arc connecting A and B.

Hence ∠APB = 90° and ∠PAC = 90°

What is Equilateral triangle?

A triangle in which all three sides are the same length, called Equilateral triangle.

ΔABC is equilateral triangle.

Hence, ∠PAD = 90° - 60°

                      =30°

In ΔAPD,

[tex]sin30 = \frac{PD}{PA}[/tex]

[tex]\frac{1}{2} = \frac{PD}{3}[/tex]

[tex]PD=\frac{3}{2}[/tex]

[tex]PD = 1.5[/tex]

Hence length of PD = 1.5

Learn more about equilateral triangle visit:

https://brainly.in/question/20930540

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