In an isosceles trapezoid, the bases are 51 cm and 69 cm, the lateral side is 41 cm. Calculate the area of the trapezoid.
| April 9, 2021 | education
1. Let’s calculate what the length of the segment is equal to, into which the height will divide the larger base.
(69 – 51) / 2 = 18/2 = 9 centimeters.
2. Determine the height.
√ (41 ^ 2. – 9 ^ 2.) = √ (1681 – 81) = √1600 = 40 centimeters.
3. Find the area.
(51 + 69) / 2 * 40 = 120/2 * 40 = 60 * 40 = 2400 cm ^ 2.
Answer: 2,400 square centimeters.
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