Question 1018158
<pre>

{{{drawing(400,7200/31,-5,26,-5,13, 
locate(10,0,21), locate(18,5.2,10),locate(7,5.2,17),
triangle(0,0,21,0,15,8), circle(14,3.5,3.5),green(locate(14.2,2.5,3.5)),
green(line(14,3.5,16.8,5.6),line(14,3.5,14,0),line(12.35294118,6.588235294,14,3.5))


 )}}}



One formula for the area of a triangle is A = r*s,

where r = radius of the inscribed circle and 

s = semiperimeter.

Area of inscribed circle is 12.25<font face="symbol">p</font>

<font face="symbol">p</font>r<sup>2</sup> = 12.25<font face="symbol">p</font>

Divide through by <font face="symbol">p</font>

r<sup>2</sup> = 12.25

r = {{{sqrt(12.25)}}}

r = 3.5

Semiperimeter = half of perimeter = {{{expr(1/2)*48= 24}}}

A = r*s = 3.5*24 = 84 square centimeters.

Edwin</pre>