Asked by anshika
two circles of radii 10 cm and 17 cm intersect at two points and distance between their centers is 21 cm.find length of common chord
Answers
Answered by
Reiny
Make a sketch.
draw a radius from the each of the circles to the points of contact of the common tangent.
Those two radii will be parallel
joint the two centres.
draw a perpendicular from the centre of the smaller circle to the larger radius.
You will see a right-angled triangle with hypotenuse 21, one short side of 7 and the other leg will be the length of the common tangent.
x^2 + 7^2 = 21^2
x^2 = 392
x = √392 = .....
draw a radius from the each of the circles to the points of contact of the common tangent.
Those two radii will be parallel
joint the two centres.
draw a perpendicular from the centre of the smaller circle to the larger radius.
You will see a right-angled triangle with hypotenuse 21, one short side of 7 and the other leg will be the length of the common tangent.
x^2 + 7^2 = 21^2
x^2 = 392
x = √392 = .....
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