The base of the rectangular trapezoid is 5 dm2 and 13 dm2, and the height is 60 cm.
| September 10, 2021 | education
The base of the rectangular trapezoid is 5 dm and 13 dm and the height is 60 cm. Find the sides of the trapezoid.
The length of the smaller lateral side of a rectangular trapezoid is equal to the length of the height of the trapezoid.
AB = CH = 60 cm = 6 dm.
The height СDН and the lateral side AB form a rectangle ABCH, then AH = BC = 5 dm.
Then DH = AD – AH = 13 – 5 = 8 dm.
Triangle CH is rectangular, in which, according to the Pythagorean theorem, we determine the length of the hypotenuse CD.
CD ^ 2 = CH ^ 2 + DH ^ 2 = 36 + 64 = 100.
СD = 10 cm.
Answer: The lengths of the sides of the trapezoid are 6 dm and 10 dm.
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