**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 = 90^{o}

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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