Solve 1/2*4sqrt{3}*7*sin(60)

$$\frac{ 1 }{ 2 } \times 4 \sqrt{ 3 } \times 7 \times \sin ( 60 )$$

Evaluate

$$21$$

Solution Steps

Multiply 4 and 7 to get 28.

$$28\times \frac{1}{2}\sqrt{3}\sin(60)$$

Multiply 28 and \frac{1}{2} to get 14.

$$14\sqrt{3}\sin(60)$$

Get the value of \sin(60) from trigonometric values table.

$$14\sqrt{3}\times \frac{\sqrt{3}}{2}$$

Cancel out 2, the greatest common factor in 14 and 2.

$$7\sqrt{3}\sqrt{3}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$7\times 3$$

Multiply 7 and 3 to get 21.

$$21$$