Question

An isosceles trapezoid has bases of 4 and 10. If the base angle is 45 what is the area

Answer 1

The triangle that the height makes would be a 45-45-90 special right triangle. So the height is 3√2, and to find the area, it would be the average of the bases, 7, multiplied by 3√2. So the area of the trapezoid is 21√2.
---
Hope this helps!