Question

Знайдіть площу трикутника дві сторони якого дорівнюють 4 см і 6 см а кут між ними дорівнює 60°

Answer 1

Ответ:

Объяснение:

с²=4²+6²-2*4*6*cos60°=16+36-48*0,5=4

с=2 см

Answer 2

Calculating the Area of a Triangle

To find the area of a triangle when two sides and the angle between them are known, you can use the formula:

Area = (1/2) * a * b * sin(C)

Where: - a and b are the lengths of the two sides - C is the angle between the two sides in radians - sin(C) is the sine of the angle C

Given: - Side a = 4 cm - Side b = 6 cm - Angle C = 60°

Applying the Formula

Using the given values in the formula:

Area = (1/2) * 4 * 6 * sin(60°)

Calculating the Sine of 60°

The sine of 60° is √3 / 2, which is approximately 0.866.

Final Calculation

Substituting the values:

Area = (1/2) * 4 * 6 * 0.866 Area = 12 * 0.866 Area ≈ 10.392 cm²

So, the area of the triangle is approximately 10.392 square centimeters.