Question

The vertices of a triangle are (4,5),(1,3) ਅਤੇ (6,7). Then area of triangle is.

Answer 1

Given :-

• The vertices of a triangle are (4, 5) , (1, 3) & (6, 7).

To Find :-

• The area of triangle.

Solution :-

Given, The vertices of a triangle are (4, 5) , (1, 3) & (6, 7).

Here,

• x1 = 4
• y1 = 5
• x2 = 1
• y2 = 3
• x3 = 6
• y3 = 7

By using the formula,

Area of Δ = ¹/2 × [ x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)

[ Put the values ]

⟶ Area of Δ = ¹/2 × [ 4(3 - 7) + 1(7 - 5) + 6(5 - 3) ]

⟶ Area of Δ = ¹/2 × [ 4(-4) + 1(2) + 6(2) ]

⟶ Area of Δ = ¹/2 × [ -16 + 2 + 12 ]

⟶ Area of Δ = ¹/2 × [ -16 + 14 ]

⟶ Area of Δ = ¹/2 × [ -2 ]

⟶ Area of Δ = -1 square units

Therefore,

The area of triangle is -1 square units.