Question

the area of triangle formed by points [0,0 ] [3,0] [0,6]is in sq units

Answer 1

Given : triangle formed by points [0,0 ] [3,0] [0,6]

To Find : area of triangle formed by points [0,0 ] [3,0] [0,6]is in sq units

Solution:

points [0,0 ] [3,0] [0,6]

Area = (1/2) |  0(0-6) + 3(6- 0) + 0(0 - 0)|

=> Area = (1/2) | 0 + 18 + 0 |

=> Area = (1/2) (18)

=> Area = 9 sq units

area of triangle formed by points [0,0 ] [3,0] [0,6]is in sq units is 9

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Answer 2

SOLUTION

TO DETERMINE

The area of the triangle formed by the points ( 0,0) , ( 3,0) , (0,6)

EVALUATION

Here the given points are ( 0,0) , ( 3,0) , (0,6)

The area of the triangle is

$\displaystyle \sf{ = \frac{1}{2} \begin{vmatrix} 0 & 0 & 1\\ 3 & 0 & 1 \\ 0 & 6 & 1 \end{vmatrix}} \: \: \: sq.unit$

$\displaystyle \sf{ = \frac{1}{2} \bigg [0(0 - 6) - 0(3 - 0) + 1(18 - 0)\bigg] } sq.unit$

$\displaystyle \sf{ = \frac{1}{2} \times 18} \: \: \: \: sq.unit$

$\displaystyle \sf{ = 9 \: \: \: \: } sq.unit$

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