Question

two circle of radii 5cm and 3cm intersect at the two points and the distance between their Centre is 4 cm find the length of the common chord​

Answer 1

Answer:

8cm

Step-by-step explanation:

join center of greater circle to one point of intersection of the circles say A Similarly join centre of smaller circle to point A . join two centers of circles . you will see a triangle is formed . let the centre of smaller circle be O'and center of greater circle be O and name the point at which common chord intersects OO' as M

Let OM be x and O'M as 4-x

then in ∆OAM

5square - xsquare=AMsqaure

in∆O'AM

3square-(4-x)square=AMsquare

so, 5square - xsquare=3square-(4-x)square

now solve this equation

and x=8cm

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