How to solve the following problem?
Asked by | 27th Feb, 2009, 08:22: PM
Area of triangle = s(s-a)(s-b)(s-c)
where s = a+b+c/2 and a = 60 b=80 and c=100
Now area of the field which the horses cannot graze is given by,
Area of ABC - (Area of sector1 + Area of sector 2 + Area of sector 3)...................eqn1
Now ABC = 900 , since the sides form a pythagorain triplet.
AB = a = 60
BC = b = 80
AC = c= 100
Now we have to ACB and BAC
Let ACB = θ1 and BAC = θ2
So, tan θ1 = AB/BC = 6/8
θ1 = tan-1 (3/4) find the value from the trigonimetric table.
Similarly by using trigonimetric ratio's compute θ2
Compute area of Sector by using the formula Πr2θ/360o
Put the values of area of sectors in equation 1 to get the final answer.
Answered by | 15th May, 2009, 03:05: PM
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