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

Answer 1

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"  `