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Three sides of a trapezium are each equ...

Three sides of a trapezium are each equal to 6 cm. Let `alpha in (0,pi/2)` be tha angle between a pair of adjacent sides.
If the area of the trapezium is maximum, what is th length of the fourth side ?

A

`8`cm

B

9 cm

C

10 cm

D

12 cm

Text Solution

Verified by Experts

The correct Answer is:
D
Fourth side, `DC = x + 6 +x`
` =3 + 6 +3`
`= 12`.
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