Calculate the area of triangle RST. a = 38.

722 √(3) square units

Step-by-step explanation:

Mathematically, the area of a triangle is 1/2 * b * h

But in this question, we have the base which is a while the height is absent

We can use trigonometric ratios since we are given the angle to find the value of the height.

Since we are dealing with the opposite and the adjacent, the correct trigonometric identity to use is the tangent

Mathematically;

Tan 60 = h/a

where h represents the height which we want to calculate

h = a tan 60

But tan 60 = √(3)

So h = a √(3)

Now the area of the triangle will be;

A = 1/2 * a * a √(3)

But a has a value of 38 units.

Substituting this value, we have ;

A = 1/2 * 38 * 38 √(3)

A = 19 * 38√(3)

A = 722 √(3) square units