Question

Площадь четырёхугольника можно вычислить по формуле S=12d1d2sin α, где d1,d2 – длины диагоналей четырёхугольника, α – угол между диагоналями. Пользуясь этой формулой, найдите площадь S, если d1=2,d2=7,sin α=27

Answer 1

S=(d1*d2*sina)/2=2*7*27/2=189

Answer 2

To find the area (S) of the quadrilateral using the formula S = 1/2 * d1 * d2 * sin(α), we can substitute the given values:

d1 = 2 d2 = 7 sin(α) = 27 (Note: This seems to be an error, as the sine of an angle cannot exceed 1. The value of sine is always between -1 and 1.)

Assuming the correct value of sin(α) is provided, let's proceed with the calculation:

S = 1/2 * d1 * d2 * sin(α)

S = 1/2 * 2 * 7 * 27

S = 1/2 * 14 * 27

S = 7 * 27

S = 189 square units

So, the area of the quadrilateral is 189 square units, provided the correct value of sin(α) is given. Please verify the value of sin(α) to ensure accuracy in the calculation.