explain graphical method with one example
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Graphical Method Examples
Example 1: The path of highway number 1 is given by the equation x + y = 7 and the highway number 2 is given by the equation 5x + 2y = 20. Represent these equations geometrically. Plot the points A (1, 6), B(4, 3) and join them to form a line AB. Similarly, plot the points C(2, 5).
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Given: In △ABC,D and E are midpoints of AB and AC respectively,
i.e., AD=DB and AE=EC
To Prove: DE∥BC
Proof:
Since, AD=DB
∴DBAD=1............(1)
Also,
AE=EC
∴ECAE=1............(2)
From (1) and (2),
DBAD = ECAE =1
i.e.,DBAD = ECAE
∴ By converse of Basic Proportionality theorem,
DE∥BC
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