Find the area of a triangle if BC = 7, AC = 14, and the angle C is 30 degrees.
April 22, 2021 | education
| Since we do not know the type of triangle by the condition of the task, we consider it arbitrary;
Consider the condition of the task;
Since we know the two sides and the angle between them, we recall the formula for the area of a triangle along two sides and the angle between them;
S = 1/2 * a * b * sin (a);
Where “a” and “b” are the sides of the triangle;
sin (a) – sine of the angle between the sides;
Substitute the values into the formula and get the expression;
S = 1/2 * 7 * 14 * sin (30);
sin (30) = 1/2;
S = 1/2 * 1/2 * 7 * 14;
S = 1/4 * 98;
S = 24.5cm2.
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