The angle at the apex opposite to the base of an isosceles triangle is 150 degrees. The side of a triangle is 120. Find the area of this triangle.
We know well from school curricula that the area of such a geometric figure can be calculated in half the product of its two sides by the sine of the angle between them.
The triangle is isosceles, which means the sides are equal.
Let us find out through what number of square conventional units the area of this geometric figure will be determined, if it is known from the condition that the lateral side is equal to 120 conventional units, and the angle between them is 150 °:
1/2 * 120 * 120 * 1/2 = 3600.
Answer: 3600 conventional square units.
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