Question

if two intersecting circles have a common chord of length 16 cm and if the radii of two circles are 10 cm and 17 cm find the distance between their centres

Answer 1

A perpendicular from the centre to a chord bisects the chord

So ca=16/2=8

In oac

10^2-8^2=oc^2

√36=oc

6=oc

Similiarly

in pca

Pc=15

Therefore

Total distance bw the centres=15+6=21....

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Answer 2

Answer:

Step-by-step explanation:

A perpendicular from the centre to a chord bisects the chord

So ca=16/2=8

In oac

10^2-8^2=oc^2

√36=oc

6=oc

Similiarly

in pca

Pc=15

Therefore

Total distance bw the centres=15+6=21....