Question

A triangle ABC is drawn to circumscribe a circle.If AB=13cm,BC=14cm,AE=7cm then find AC

Answer 1

AC = AE + EC = 7 + 8 = 15cm

Answer 2

A circle which passes through all the vertices of a polygon (such as a triangle) is called circumscribe a circle.

First let's draw the asking triangle, Δ ABC  

In this question,  In Δ ABC  

AB= 13cm             ( given)

BC = 14cm            ( given)

AE= 7cm                ( given)

AF =AE = 7cm         ( both are tangents of the circle)

BF = AB = AF = 13cm - 7cm = 6cm

∴BD = BF = 6cm    ( both are tangents of the circle)

CD = (BC - BD)=( 14cm - 6cm) = 8cm

CE = CD = 8 cm

AC = AE + EC = 7cm + 8cm = 15cm

Ans :- AC = 15cm

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