In trapezium ABCD, the base lengths are known: AD = 15, BC = 6. the area of the triangle ACD is 60.
| September 7, 2021 | education
In trapezium ABCD, the base lengths are known: AD = 15, BC = 6. the area of the triangle ACD is 60. Find the area of the trapezoid ABCD.
From vertex C we draw the height CH, which is the height of the trapezoid and the height of the triangle ACD.
Let’s use the formula for the area of a triangle. Sasd = AD * CH / 2.
60 = 15 * CH / 2.
CH = 60 * 2/15 = 8 cm.
Then the area of the trapezoid is:
Savsd = (ВС + АD) * СН / 2 = (6 + 15) * 8/2 = 84 cm2.
Answer: Savsd = 84 cm2.
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