Find the perimeter of an isosceles trapezoid if its smaller base is 2m, the lateral side is 3m, and the angle at its base is 60 degrees.
| December 21, 2020 | education
Consider the AВСD trapezoid:
Let’s draw in it the height of CH
Consider tr СDН:
СНD angle = 90 degrees
sd angle = 60 degrees
tilt angle = 30 degrees (the sum of the angles in the triangle)
side НD = 1.5 (leg lying opposite an angle of 30 degrees)
BP = 1.5 + 1.5 + 2 = 4 m
The perimeter is 12 m
Answer: 12
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