In a rectangular trapezoid, the acute angle is 45 °. The smaller side is 12 cm and the larger base is 26 cm.
| June 2, 2021 | education
In a rectangular trapezoid, the acute angle is 45 °. The smaller side is 12 cm and the larger base is 26 cm. Calculate the length of the smaller base.
1. Let’s lower the CO height to the larger base AD of the trapezoid ABCD. An isosceles right-angled triangle COD and a rectangle ABCO were formed, in which AB = CO = 12 centimeters, and AO is equal to BC. CO = OD, as sides lying opposite equal angles.
2. Determine the length of the smaller base.
26 – 12 = 14 centimeters.
Answer: 14 centimeters.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
