document.write( "Question 57270: givin three sides of a traingle: 330, 270, 240, find the area of the largest possible circle that fits within the triangle \n" ); document.write( "
Algebra.Com's Answer #39079 by venugopalramana(3286) You can put this solution on YOUR website! givin three sides of a traingle: 330, 270, 240, find the area of the largest possible circle that fits within the triangle \n" ); document.write( "givin three sides of a traingle: 330, 270, 240, find the area of the largest possible circle that fits within the triangle\r \n" ); document.write( "\n" ); document.write( "SUCH A CIRCLE IS CALLED INCIRCLE.THERE ARE SEVERAL WAYS TO FIND IT.I DONOT KNOW ABOUT \n" ); document.write( "YOUR BACK ROUND. I AM GIVING BELOW ONE WAY USING TRIGNOMETRY - PROPERTIES OF TRIANGLES.\r \n" ); document.write( "\n" ); document.write( "DEL = r*s = SQUARE ROOT OF [ s(s-a)(s-b)(s-c)] \n" ); document.write( "WHERE \n" ); document.write( "DEL = AREA OF TRIANGLE \n" ); document.write( "r = IN RADIUS \n" ); document.write( "a,b,c ARE SIDES OF TRIANGLE \n" ); document.write( "s = (a+b+c)/2 = SEMI PERIMETER OF THE TRIANGLE. \n" ); document.write( "WE HAVE \n" ); document.write( "a = 330 \n" ); document.write( "b = 270 \n" ); document.write( "c = 240 \n" ); document.write( "s = (a+b+c)/2 = (330+270+240)/2 = 840/2 = 420 \n" ); document.write( "r*420 = SQ.RT.[420(420-330)(420-270)(420-240)] = 31946.83083 \n" ); document.write( "r*420 = 31947 \n" ); document.write( "r = IN RADIUS = 31947/420 = 76.06388095 \n" ); document.write( "AREA OF INCIRCLE = PI*r*r = 18167.19878 \n" ); document.write( " |