Mathematics
In rectangle OABC; point O is the origin, OA = 10 units along x-axis and AB = 8 units. Find the co-ordinates of vertices A, B and C.
Answer
Given that in rectangle OABC, point O is the origin and OA = 10 units along x-axis, therefore we have O(0, 0) and A(10, 0).
It is also given that AB = 8 units. Since AB is perpendicular to OA (as OABC is a rectangle), the line through A is a vertical line and it meets B at B(10, 8).
Through point B, draw a horizontal line (parallel to x-axis) that meets the y-axis at y = 8. This gives the coordinates of point C: (0, 8).
Thus, the vertices of rectangle OABC are: O(0, 0), A(10, 0), B(10, 8) and C(0, 8)
Hence, the coordinates of the vertices are A = (10, 0), B = (10, 8) and C = (0, 8).
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