The area of the parallelogram ABCD is 60. Point E is the midpoint of side CD. Find the area of triangle ADE.
| January 30, 2021 | education
The parallelogram area is calculated by the formula:
Sп = a * h (a is the side of the parallelogram, h is the height drawn to this side).
That is, S (ABCD) = AD * h = 60.
The area of a triangle is calculated by the formula:
Str = 1/2 * a * h (a is the side of the triangle, h is the height drawn to this side).
The height of the ADE triangle will be half the height of the parallelogram, which means that the area of the ADE triangle is:
S (ADE) = 1/2 * AD * 1/2 * h = 1/4 * AD * h.
That is, S (ADE) = 1/4 * S (ABCD) = 1/4 * 60 = 60/4 = 15.
Answer: The area of triangle ADE is 15.
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