Find the area of an isosceles triangle if its lateral side is 2 cm and the angle at the base is 15 degrees.
| June 14, 2021 | education
The area of an isosceles triangle is equal to half the product of the base of the triangle and the height drawn to this base.
The height of this triangle is calculated as the product of the given lateral side and the sine of the given angle: 2 * sin 15 degrees = 0.52 (approximately).
Half the base is calculated as the product of the side and the cosine of a given angle: 2 * cos 15 degrees = 1.93 (approximately).
The area of an isosceles triangle is 0.5 * (1.93 * 2) * 0.52 = 1 cm ^ 2 (approximate).
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