Question:The perimeter of an isosceles triangle is 14 cm and the lateral side is to the base in the ratio 5 : 4. The area of the triangle (in sq.cm) is : 

A `sqrt(21)/2` 
B `(3sqrt(21))/2` 
C `2sqrt(21)` 
D `sqrt(21)` 

+ Answer
C 

+ Explanation
Let the sides be 5x + 5x + 4x = 14 or x = 1.

  :. sides are 5 cm, 5 cm and 4 cm.

`:. s = 1/2 (5 + 5 + 4) = 7. `

:. Area` = sqrt(7 xx 2 xx 2 xx 3)`

           `= 2sqrt(21) cm.^2`

           `

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