In a rectangular trapezoid, the bases are 05 and 17 cm, and the large side side is 13 cm, find the area of the trapezoid.
| August 30, 2021 | education
Let’s draw the height of the CH trapezoid. The formed quadrangle ABSN is a rectangle, since AB and CH are perpendicular to the bases of the trapezoid.
Then AH = BC = 5 m.
The length of the segment DH = AD – AH = 17 – 5 = 12 cm.
From the right-angled triangle СDН, we determine the length of the leg СН.
CH ^ 2 = CD ^ 2 – DH ^ 2 = 169 – 144 = 25.
CH = 5 cm.
Determine the area of the trapezoid.
Savsd = (ВС + АD) * СН / 2 = (5 + 17) * 5/2 = 55 cm2.
Answer: The area of the trapezoid is 55 cm2.
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