Find the area of a triangle with sides 6cm and 10cm, and the angle between them is 45 °.

From the current school curriculum in geometry, we know that the area of a triangle can be calculated, among other things, as half the product of its two sides by the sine of the angle between them.

Let us determine how many square centimeters the area of the triangle will be expressed, when from the condition of the task we know that the sides between which an angle of 45 ° lies are equal to 6 and 10 centimeters, respectively:

1/2 * 6 * 10 * √2 / 2 = 15√2.

Answer: The area of our triangle will be 15√2 cm2.