In trapezoid ABCD, the smaller base BC is 8 and the height is 10. Find the area of the trapezoid
| July 15, 2021 | education
In trapezoid ABCD, the smaller base BC is 8 and the height is 10. Find the area of the trapezoid if the area of the triangle is 60.
Knowing the area of the triangle ACD, we determine its base AD.
Sasd = AD * CE / 2.
AD = 2 * Sacd / CE = 2 * 60/10 = 12 cm.
Determine the area of the trapezium ABCD.
Savsd = (AD + BC) * CE / 2 = (12 + 8) * 10/2 = 200/2 = 100 cm2.
Answer: The area of the trapezoid is 100 cm2.
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