What is the measure of the radius of the circle inscribed in a triangle whose sides measure 4, 11 and 12 units?
Pick:
A) 1.6 units  B) 6 units  C) 3 units  D) 5 units  E) 12 units
Sides are 4, 11 and 12...thus it is right angle triangle Since 12^2 = 4^2 + 11^2   therefore, area = 1/2 * 11 * 4= 
<gadget id="calculator">1/2 * 11 * 4</gadget>
<output>22</output>
22   We have to find in-radius   Therefore, area of triangle= S*r ....where S=semi-perimeter and r= in-radius   Now S=semi-perimeter = 12+11+4 /2 =13,5   Thus , 22 =13,5*r   and hence r=in-radius= 1.6   Option 1.6 units
<result>A</result>
What is the measure of the radius of the circle inscribed in a triangle whose sides measure 4, 11 and 12 units?