In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of pointR?
\(Area = \frac{1}{2} * Base * Height\)
\(12 = \frac{1}{2} * Base (OP) * Height (OR)\)
\(12 = \frac{1}{2} * 4 * OR\)
\(12 = 2 * OR\)
\(OR = 6\)
As OR lies on Y axis, co-ordinates of point R will be\((0,6)\)
Hence,\(y co-ordinate = 6\)
Hence, Answer is B
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\(Area = \frac{1}{2} * Base * Height\)
\(12 = \frac{1}{2} * Base (OP) * Height (OR)\)
\(12 = \frac{1}{2} * 4 * OR\)
\(12 = 2 * OR\)
\(OR = 6\)
As OR lies on Y axis, co-ordinates of point R will be\((0,6)\)
Hence,\(y co-ordinate = 6\)
Hence, Answer is B
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