In a rectangular trapezoid, the acute angle is 60 degrees. The large side and the larger base are 4 cm

In a rectangular trapezoid, the acute angle is 60 degrees. The large side and the larger base are 4 cm each.Find the smaller base …

Let’s denote a rectangular trapezoid with vertices A, B, C, D. Angle A is equal to 90 °. AD – larger base, AD = 4 cm. CD = 4 cm, angle D = 60 °.

Let’s draw the height from the top C to AD. In the resulting right-angled triangle CSD, we find the leg SD using the leg property that lies opposite an angle of 30 °. Hence, SD = 2 cm.

Then we find AS = AD – SD = 4 – 2 = 2 cm.

Consider a quadrilateral ABCS: AS = BC = 2 cm.

Answer: 2 cm.