Question

by using vector method prove that the angle substended on a semicircle transformation method​

Answer 1

Answer:

If an angle is inscribed in a semicircle, it will be half the measure of a semicircle (180 degrees), therefore measuring 90 degrees. Angles in semicircle is one way of finding missing missing angles and lengths.

Answer 2

26. Prove by vector method that, The angle in a semi circle is a right angle. Solution: P A B Let AB be a diameter and O be the centre of a circle. Let P be a point on the semi-circle. Join PA , PB & PO. By the law of triangle of vectors PA = PO + OA PB = PO + OB = PO – OA since OB = - OA Consider, PA ●PB = ( PO + OA ) ●( PO – OA ) = │PO│² - │OA│² since , │PO│= │OA│= radius of the circle. = 0