Question

Ромб диагональ 10см и 10•3см. Найдите угол ромбы

Answer 1

10 см и 30 см.30 + 10 = 40 :2 = 20

Answer 2

Finding the Angle of a Rhombus

To find the angle of a rhombus, we can use the formula: \[ \text{Angle} = \arccos\left(\frac{d_1}{2d_2}\right) \]

Where: - \( d_1 \) = length of one diagonal - \( d_2 \) = length of the other diagonal

Given that the diagonals of the rhombus are 10 cm and 10√3 cm, we can calculate the angle using the formula above.

Calculation

Using the given diagonals: - \( d_1 = 10 \) cm - \( d_2 = 10\sqrt{3} \) cm

Plugging these values into the formula: \[ \text{Angle} = \arccos\left(\frac{10}{2 \times 10\sqrt{3}}\right) \]

Solving for the angle: \[ \text{Angle} = \arccos\left(\frac{10}{20\sqrt{3}}\right) \]

\[ \text{Angle} = \arccos\left(\frac{1}{2\sqrt{3}}\right) \]

Using a calculator, the angle is approximately 30 degrees.

Conclusion

Therefore, the angle of the rhombus is approximately 30 degrees.