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 = 90^o

x = sqrt(100 + 36) = sqrt(136)

There is a more algebraic method using hero’s formula. Try that also.

Answer Choice (D)