Solve 1/2*63*78*sin60^circ

$$\frac { 1 } { 2 } \times 63 \times 78 \times \sin 60 ^ { \circ }$$

Evaluate

$$\frac{2457\sqrt{3}}{2}\approx 2127.824417098$$

Solution Steps

Multiply 63 and 78 to get 4914.

$$4914\times \frac{1}{2}\sin(60)$$

Multiply 4914 and \frac{1}{2} to get 2457.

$$2457\sin(60)$$

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

$$2457\times \frac{\sqrt{3}}{2}$$

Express 2457\times \frac{\sqrt{3}}{2} as a single fraction.

$$\frac{2457\sqrt{3}}{2}$$