Find the smaller side of a rectangular trapezoid if its bases are 4 cm and 7 cm, and one of the corners is 135 degrees.

univerkov | June 9, 2021 | education

1. Determine the acute angle of the trapezoid.

360 -180 – 135 = 45 °.

2. From the top of the obtuse angle, lower the height. In the formed right-angled triangle, as well as isosceles, since the angles are equal at the base. The length of the side is 7 – 4 = 3 cm. Opposite this side is the smaller side, which corresponds to its size.

Answer: 3 centimeters.

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