Find the area of a rectangular trapezoid abcd if bc = 7, ad = 13, cd = 10
| August 7, 2021 | education
Let’s build the height of the CH trapezoid ABCD.
Since CH is the height of the trapezoid, and the trapezoid is isosceles, then the quadrilateral ABCH is a rectangle, then AH = BC = 7 cm.
DН = АD – АН = 13 – 7 = 6 cm.
In a right-angled triangle CDH, according to the Pythagorean theorem, CH ^ 2 = CD ^ 2 – DH ^ 2 = 100 – 36 = 64.
CH = 8 cm.
Determine the area of the trapezoid.
Savsd = (ВС + АD) * СН / 2 = (7 + 13) * 8/2 = 80 cm2.
Answer: The area of the trapezoid is 80 cm2.
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