If angle A of the triangle ABC is 30anddeg; and the circumradius of the triangle is 10 cm, then what is the length of side BC?a)5 cmb)10 cmc)5andradic;3 cmd)10andradic;3 cmCorrect answer is option 'B'. Can you explain this answer?

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If angle A of the triangle ABC is 30° and the circumradius of the triangle is 10 cm, then what is the length of side BC?

a)
5 cm
b)
10 cm
c)
5√3 cm
d)
10√3 cm

Correct answer is option 'B'. Can you explain this answer?

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Verified Answer

If angle A of the triangle ABC is 30° and the circumradius of the ...

If ∠A = 30 °, then ∠O = 60° [∵ Central angle is twice the angle subtended by the chord on any point the circle]
In triangle OBC, ∠O = 60°
OB = OC = radius of the circle = 10 cm
∴ OBC is an equilateral triangle
∴ BC = 10 cm

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If angle A of the triangle ABC is 30° and the circumradius of the triangle is 10 cm, then what is the length of side BC?a)5 cmb)10 cmc)5√3 cmd)10√3 cmCorrect answer is option 'B'. Can you explain this answer?

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