Answered

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Answer this question based on the knowledge of angle in a Circle.

Answer This Question Based On The Knowledge Of Angle In A Circle class=

Sagot :

Explanations:

From the given diagram, PQ is a diameter and since the triangle inside a semicircle is right angled, hence triangle PQR is a right triangle.

Also since the side QR is parallel to OS, hence the line PR is perpendicular to the lines QR and OS

Hence;

PR ⊥ QR and OS ⊥ PR

Proof that From △PRQ,

Since OS ⊥ PR, hence △PSR is divided into two similar triangles by the line OS showing that the base angles (

Recall that for an isosceles triangle, the base angles and two opposite sides are equal. Based on the proof above, we can conclude that;△PSR is isosceles triangle showing that SP = SR
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