CAT Geometry

Question
Sides of a triangle are 6, 10 and x for what value of x is the area of the D the maximum?
A.    8 cms
B.    9 cms
C.    12 cms
D.    None of these
Correct Answer: D
 
Explanatory Answer
 
Side of a triangle are. 6, 10, x.
Area = 1/2 x 6 x 10 sin ÐBAC.
Area is maximum, when ÐBAC = 90o
x = sqrt(100 + 36) = sqrt(136)
There is a more algebraic method using hero’s formula. Try that also.
Answer Choice (D)

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