Large trapezoid diagonal 13 cm, and a larger trapezoid base 12 cm. Find S if its smaller base is exactly 8cm.
| April 7, 2021 | education
In a right-angled triangle ABD, leg AB is the height of the trapezoid, since the trapezoid, by condition, is rectangular. By the Pythagorean theorem, we determine the length of the leg AB.
AB ^ 2 = BD ^ 2 – AD ^ 2 = 13 ^ 2 – 12 ^ 2 = 169 – 144 = 25.
AB = 5 cm.
Determine the area of the trapezoid.
Savsd = (BC + AD) * AB / 2 = (8 + 12) * 5/2 = 50 cm2.
Answer: The area of the trapezoid is 50 cm2.
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