Q. 335.0( 3 Votes )

Answer :

Firstly consider that the given circle will touch the given circle will touch the sides AB and AC of the triangle at a point E and F respectively.

Let AF=x

Now in triangle ABC

CF = CD=6cm

(Tangent drawn from an external point to a circle are equal. Here tangent is drawn from external point C)

BE = BD =8cm (Tangent drawn from an external point to a circle are equal. Here tangent is drawn from external point B)

AE = AF =X

Now AB= AE + EB =x + 8

Also BC = BD+ DC = 8+6 =14 and CA= CF+FA = 6+ x

Now we get all side of the triangle and its area can be find by using hero’s formula

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PREVIOUSA triangle PQR is drawn to circumscribe a circle of radius 8 cm such that the segments QT and TR, into which QR is divided by the point of contact T, are of lengths 14 cm and 16 cm respectively. If area of is 336 cm2, find the sides PQ and PR.NEXTIn Fig. 10.69, AB is a diameter of a circle with centre O and AT is a tangent. If , find .

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