You are given an isosceles trapezoid ABCD. Upper base BC = 20cm. Lower base AD = 36cm.

You are given an isosceles trapezoid ABCD. Upper base BC = 20cm. Lower base AD = 36cm. BAK angle = 45 degrees. Find the height BK.

1. The length of the segment AK of the side of the BC, in accordance with the properties of an isosceles trapezoid, can be calculated using the following formula:

AK = (AD – BC) / 2 = (36 – 20) / 2 = 8 centimeters.

2. The length of the ВК height is calculated through one of the trigonometric functions ∠A (tangent):

ВK: AK = tangent ∠A = tangent 45 ° = 1.

ВK = AK x 1 = 8 x 1 = 8 centimeters.

Answer: the height of the VC is 8 centimeters.