Question

Please prove this also ..........

Answer 1

Hi pupil here's your answer ::

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Since , OR perpendicular to PQ

➡<ROQ+<ROP = 180° {LINEAR PAIR}

➡90° + <ROP = 180°

➡<ROP = 180°- 90° = 90°

▶<ROS+<POS=90° (ROP = ROS+POS)

▶<POS = 90° - <ROS..........☝

⏩<QOS = <ROS+ <ROQ

⏩<QOS = <ROS + 90°...............✌

subtracting ☝from✌ we get

✔QOS - POS = ROS +90° - (90°-ROS)

✔QOS - POS =ROS +90-90+ROS

✔ QOS - POS = 2ROS

✔$\frac{1}{2} (qos - pos \: ) = ros$


so now


✔$ros = \frac{1}{2} (qos - pos)$

Hence proved

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hope that it helps. . . . . .