In a right-angled triangle, one of the legs is 10, the angle opposite it is 30 °

In a right-angled triangle, one of the legs is 10, the angle opposite it is 30 °, and the hypotenuse is 20. Find the area of the triangle divided by √3

From the definition of the cosine, the 2nd leg of the triangle will be equal to:

20 * cos (30) = 20 * √3 / 2 = 10√3.

Since the triangle is rectangular, its area S will be equal to the product of the legs divided by 2:

S = 1/2 * 10 * 10 * √3 = 50√3.

Then the required value is equal to:

S / √3 = 50.