Q. 153.7( 3 Votes )

# The area of the triangle formed by the points *P*(0,1), *Q*(0,5) and *R*(3,4) is

A. 16 sq. units

B. 8 sq. units

C. 4 sq. units

D. 6 sq. Units

Answer :

If (x_{1}, y_{1}), (x_{2}, y_{2}), (x_{3}, y_{3}) (x_{1}, y_{1}) (x_{2}, y_{2}), (x_{3}, y_{3}) are the vertices of a triangle then its area is given by

Area = |1/2 (x_{1}(y_{2} −y_{3})+x_{2} (y_{3} −y_{1} )+x_{3} (y_{1} −y_{2} ))|

Area = [(0(5-4)+0(4-1)+3(1-5)]

⇒| [-12]|

⇒ 6 sq. units

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