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secondary 3 | A Maths
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Kindly help with part c
Date Posted: 2 years ago
Views: 378
The x-coordinates of B and C are zero, since both B and C lie on the y-axis.
The x-coordinates of A and D are 5, since A is (5, 5) and D lies along the line x = 5.
This goes to show that BC and AD are vertical lines and are therefore parallel.
That's what a trapezium is all about - a figure with exactly one pair of parallel lines.
The distance between the parallel sides must be 5 units, which is basically the difference between x = 0 and x = 5.
For part (ii), we simply find the y-coordinate of D and then find the lengths AD and BC as well as this 5-unit distance (which is kind of the perpendicular height of the trapezium). Then, we use the trapezium area formula 1/2 x (sum of parallel lengths) x perpendicular height.
The x-coordinates of A and D are 5, since A is (5, 5) and D lies along the line x = 5.
This goes to show that BC and AD are vertical lines and are therefore parallel.
That's what a trapezium is all about - a figure with exactly one pair of parallel lines.
The distance between the parallel sides must be 5 units, which is basically the difference between x = 0 and x = 5.
For part (ii), we simply find the y-coordinate of D and then find the lengths AD and BC as well as this 5-unit distance (which is kind of the perpendicular height of the trapezium). Then, we use the trapezium area formula 1/2 x (sum of parallel lengths) x perpendicular height.
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