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Question
The area of the triangle formed by the points P (0, 1), Q (0, 5) and R (3, 4) is
Options
16 sq. units
8 sq. units
4 sq. units
6 sq. units
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Solution
Given that the points P (0, 1), Q (0, 5) and R (3, 4) is form a triangle.
We are asked to find the area of the triangle ΔPQR which is shown in the figure.
Given that
OP = 1
and OQ = 5
Hence
`PQ = OQ - OP`
= 5-1
= 4
and RS = 3
By using formula,
`"PQR "= 1/2 xx "PQ "xx "RS"`
` = 1/2 xx 4 xx 3`
` = 2 xx 3`
` =6 " sq . units" `
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