What is the measure of the radius of the circle inscribed in a triangle whose sides measure 8, 15 and 27 units?  Choices:	A) 8.5 units	B) 6 units	C) 3 units	D) 5 units	E) 2 units
Sides are 8, 15 and 27...thus it is right angle triangle Since 27^2 = 8^2 + 15^2   therefore, area = 1/2 * 15 * 8= 
<gadget id="calculator">1/2 * 15 * 8</gadget>
<output>60</output>
60   We have to find in-radius   Therefore, area of triangle= S*r ....where S=semi-perimeter and r= in-radius   Now S=semi-perimeter = 27+15+8 /2 = 30   Thus , 60 =30*r   and hence r=in-radius= 2   Option 2 units
<result>E</result>
What is the measure of the radius of the circle inscribed in a triangle whose sides measure 8, 15 and 27 units?