For the trapezoid ABCD, E denotes the midpoint of BC. Try to prove that the area of the triangle AED equals to half of the area of the trapezoid ABCD. da
For the trapezoid ABCD, E denotes the midpoint of BC. Try to prove that the area of the triangle AED equals to half of the area of the trapezoid ABCD. da
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:For the trapezoid ABCD, E denotes the midpoint of BC. Try to prove that the area of
the triangle AED equals to half of the area of the trapezoid ABCD.
da
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Step 1: Consider the provided diagram and make some construction.
VIEWStep 2: In the provided trapezoid ABCD, AB is parallel to DC and E is mid-point BC.
VIEWStep 3: Further simplify,
VIEWStep 4: Adding equation (1) and (3).
VIEWStep 5: Further simplify,
VIEWStep 6: Substitute equation (4) in above equation.
VIEWStep 7: Hence, it proved that the area triangle AED is equal to half of the area of trapezoid ABCD.
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