The diagonal BD of rectangle ABCD with side BC makes an angle of 30 °. Calculate the diagonal BD if the DC side is 45 cm.
| December 17, 2020 | education
The diagonal BD of rectangle ABCD with side BC makes an angle of 30 °. Calculate the diagonal BD if the DC side is 45 cm. The diagonal BD is cm.
1. ΔBCD – rectangular (angle С = 90 °) 2. By the property of rectangular Δ: the leg, which lies opposite the angle of 30 °, is equal to half of the hypotenuse => BD = 2CD; BD = 2 * 45cm = 90cm
Answer: 90cm
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