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Thursday, February 8, 2007
"GEOMETRY QUESTION OF THE DAY"
What is the measure of the circum radius of a triangle whose sides are 9, 40 and 41?
4
ReplyDeletehow???
ReplyDeletelet a=9, b= 40, c= 41
ReplyDelete[ Area of traingle=sqrt(s(s-a)(s-b)(s-c)) where s=a+b+c/2, in this case s=41+40+9/2=45
Hence area= sqrt 45(45-9)(45-40)(45-41)=sqrt 36*900=6*30=180 ]
Circumradius of a traingle
R=abc/4(area of the traingle)
hence R = 9*40*41/4*180 = 41/2 = 20.5..hence R=20.5
The hypotenuse will be the diameter.
ReplyDeletefor every right angled triangle
arrey haan yaar...i didnt realise it was a rt triangle and went thru the trouble.
ReplyDeletethnx
it is 20.5
ReplyDelete