Given: PFST is a rectangle m∠SOT = 60°, OS = R=4 Find: ST and PT
Accepted Solution
A:
the complete question in the attached figure
we know that
radius r of a circle=4 units
in the triangle OST OT=OS=4 units m∠OST = 60° cos 60°=(ST/2)/r-------> ST=2*r*cos 60°-----> 2*4*(1/2)----> 4 units so triangle OST it's an equilateral triangle
the answer Part a) is ST=4 units
Part b) Find PT in the triangle POT m∠POT = (180°-60°)---------> 120° m∠OTP = 30° cos 30°=(PT/2)/r------> PT=2*r*cos 30°------> 2*4*√3/2----> 4√3 units