In an isosceles trapezoid, the bases are 34 and 55, the acute angle is 60 °. Find the perimeter.
| September 24, 2021 | education
From the top of the obtuse corners, we lower the perpendicular to the larger base. Consider a right-angled triangle with a leg equal to (55 – 34) / 2 = 10.5 centimeters, is opposite an angle of 30 ° and is half the hypotenuse or side of the trapezium, which will be 10.5 * 2 = 21 centimeters. Let’s find the perimeter.
21 * 2 + 55 + 34 = 131 centimeters.
Answer: 131 centimeters.
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