एक समचतुर्भुज ABCD मे, `ltB = 60^(@)` और AB = 14 सेमी है | तो विकर्ण AC होगा |

Options

A. 14 cm
B. `14sqrt(3) cm`
C. 12 cm
D. 15 cm

Answer

B

Explanation

`angleABC = 60^(@)` (given)
`angleDAC = angleDCB = 120^(@)` (as `angleABC + angleDAB = 180^(@)`
`angleCAB = 1/2 xx angleDAB= 60^(@)`
`anlgeACB = 1/2 xx angleDCB = 60^(@)`
In `DeltaABC`
all 3 anlgs are `60^(@)` means it is an equilateral `Delta`
So, AC=AB=BC=14`