In a triangle ABC, the angle is a = 45 degrees, AB = 12 cm, AC = 6.5 cm. Find its area.

As we know from the current school curriculum in geometry, the area of such a geometric figure can be calculated from two sides and the angle between them.

Let us determine with the help of how many square centimeters it will be possible to express the area of this geometric figure, when from the condition of the task we know that the sides between which an angle of 45 ° lies are equal to 12 and 6.5 centimeters, respectively:

sin 45 ° = √2 / 2;

12 * 6.5 * √2 / 2: 2 = 19.5√2.

Answer: The area of this figure is 19.5√2 cm2.

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