In the given figure, chord AB subtends ∠AOB measures 60° at the centre O of the circle. If OA is equal to
7 cm, the find the length of AB
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In the given figure, chord AB subtends ∠AOB measures 60° at the centre O of the circle. If OA is equal to
7 cm, the find the length of AB
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Answer:
AB = 7CM
Step-by-step explanation:
According to the diagram
<OAB = <OBA { isosceles triangle property}
<O+<A+<B = 180 (ANGLE SUM PROPERTY)
60 + 2<A. = 180 (<A=<B)
<A= 60
<B= 60
triangle AOB IS EQILATERAL TRIANGLE because all three angles are of 60°
so all three side will be also equal
AB =OA=OB
AB = 7Cm