STEP 1

STEP 2

STEP 3

STEP 4

STEP 5

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