a circle has radius root 2 cm. It is divided into 2 segments by a chord of length 2cm. proved that angle subtended by the chord at the point in measure segment is 45 degree
GIVEN AO = BO = √2 cm and , AB = 2 cm
TO PROVE y = 450
SOLUTION in triangle AOB , AO2+BO2 = AB2
(√2)2+(√2)2 = (2)2
so , x = 900 (by Converse of Pythagoras Theroem)
y = x/2 (angle subtended by a chord at any point in the alternate segment is half than that subtended at the centre)
hence , y = 90/2 = 450...