Question

tangents PQ and PR are drawn to a circle from an external point P if PQ=9 cm and angle pqr=60 degree then the length of the chord QR is
a)4.5cm
b)6cm
c)9cm
d)18cm




the answer will come 9cm how?
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Answer 1

Step-by-step explanation:

The lenght of tangents drawn from an external point are equal.So, PQ=PR=9cm.

Now, PQR is an isosceles triangle with two sides equal.So, LQ=LR=60(L=angle)

because angles opposite to equal sides are equal of isosceles triangles.

Therefore, LP=60(angle sum property of triangle)

If all the angles are equal then it is a equilateral triangle and therefore lengths of all sides are equal. Hence, length of chord QR is 9cm.

hope u understand.

Answer 2

I hope the answer helps you