What is the equation of the line?
1 answer:
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In the figure, ABCD is a trapezoid with legs AB and CD.
Join AC and BD.
For the triangle CAD, from the vertex C, draw an altitude CE and for the triangle ABD, from the vertex B, draw an altitude BF.
Clearly, CE = BF = h (say) --- (1)
Note that the base of the triangles CAD and ABD are the same and is AD.
It is given that ar(CAD) = .
Now, ar(ABD) =
= from (1)
= ar(CAD)
= .
Hence, area of Δ ABD = ..
Given:
There are given the equation:
Explanation:
From the equation (1):
Put the value of x into the equation (2):
So,
From the equation (2):
Now,
Put the value of y into the equation (1):
So,
From the first equation:
Final answer:
Hence, the ordered pair of the solution is shown below: