Question

MODERATORS HELP IN MATHS ​

Answer 1

Answer:

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Step-by-step explanation:

so here for adjoining circle

AB=7 cm

DC=4 cm

AD=6 cm

BC=3 cm

BD=7 cm

So as here quadrilateral ABCD is inscribed in given circle ie it's all vertices are concylic

ABCD is a cyclic quadrilateral

so we can apply here Ptolemys Theorem

According to ptolemys theorem

In cyclic quadrilateral the sum of product of its opposite sides is equal to product of its two diagonals

Thus then

(AB×CD)+(AD×BC)=(AC×BD)

(7×4)+(6×3)=7AC

28+18=7AC

ie 7AC=46

hence AC=46/7 cm