The bases of an isosceles trapezoid are 5 and 17, and its sides are 10. Find the area of the trapezoid.
| July 3, 2021 | education
1. From obtuse angles, draw segments perpendicular to the lower base, which is divided into three parts, one of which is equal to the upper base, and the other two are equal to each other. Let’s determine their length.
(17 – 5) / 2 = 12/2 = 6 centimeters.
2. In the resulting triangle, height, one of the legs. Find out its length.
√ (102 – 62) = √ (100 – 36) = √64 = 8 centimeters.
3. Find the area.
(17 + 5) / 2 * 8 = 22/2 * 8 = 11 * 8 = 88 cm2.
Answer: The area of the trapezoid is 88 square centimeters.
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