Question

The vertices of a triangle are (4,5),(1,3) ਅਤੇ (6,7). Then area of triangle is *
9 sq.units
2 sq.units
1 sq.unit
12sp.unit

Answer 1

Answer:

1 sq.unit

Step-by-step explanation:

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Answer 2

C) 1 square unit.

Explanation:

• Area of triangle with vertices ( $x_{1} , y_{1}$ ) , ( $x_{2} , y_{2}$ ), ( $x_{3} , y_{3}$ ).

• Formula for Area of Triangle = $\frac{1}{2}$ | $x_{1} (y_{2} -y_{3}) + x_{2} (y_{3} -y_{1}) + x_{3} (y_{1} -y_{2})$|
• | | is the symbol for magnitude which means there can be no Negative Values.

• Vertices of a triangle are (4,5), (1,3), (6,7).

• Let the Variables,    $x_{1}, y_{1} = ( 4 , 5) ;$    $x_{2}, y_{2} = ( 1 , 3) ;$     $x_{3}, y_{3} = ( 6 , 7) ;$ Assume A is Area of Triangle.

• Substituting the values in the formula we get,

                             A = $\frac{1}{2}$ | $4( 3 - 7)+1(7-5)+6(5-3)$ |.

                               A = $\frac{1}{2}$ | $4(-4)+1(2)+6(2)$ |.

                                A = $\frac{1}{2}$ | $-16+2+14$ |.

                                 A= $\frac{1}{2}$ | $-2$ |.

                                   A = 1 ; The ( - ) sign will be changed to Positive because of Magnitude.

• Hence the Area of Triangle = 1 Square Unit.