Question

OM is perpendicular to the chord AB of the circle with centre O.If OA=13cm(radius) AB=24cm,then .OM=______
steps and explanation

Answer 1

Step-by-step explanation:

By Pythagoras theorem

OM = 5 cm.

Answer 2

Chord AB=24

AM=1/2×AB(M is midpoint of AB)

AM=12cm

By Pythagoras theorem

(OA×OA)=(AM×AM)+(OM×OM)

13×13=12×12+OM×OM......[ It means square ]

169=144+OM×OM

169_144=OM×OM

25 =OM×OM

5=OM....[Taking square roots]

OM=5cm