In a rectangular trapezoid, the sides are 7 and 25 cm, and the smaller base is 2 cm.
| May 21, 2021 | education
Let’s build the height of the CH trapezoid ABCD.
Since the trapezoid is rectangular, and CH is its height, then the quadrangle ABCH is a rectangle, then BC = AH = 2 cm, CH = AB = 7 cm.
The triangle CDH is rectangular, then, according to the Pythagorean theorem, DH ^ 2 = CD ^ 2 – CH ^ 2 = 625 – 47 = 576.
DН = 24 cm.
Base length АD = АН + DH = 2 + 24 = 26 cm.
Determine the area of the trapezoid.
Savd = (ВС + АD) * СН / 2 = (2 + 26) * 7/2 = 98 cm2.
Answer: The area of the trapezoid is 98 cm2.
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