Question

The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is ______.

Options

• 63

• 35

• 53

• 36

Answer 1

The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is 53.

Explanation:

Area of ΔABC = `1/2`[x₁(y₂ – y₃) + x₂(y₃ – y₁) + x₃(y₁ – y₂)]

= `1/2`[- 5(- 5 - 5) - 4(5 - 7) + 4(7 - (-5))]

= `1/2`[-5(-10) -4(-2) + 4(12)]

= `1/2`[50 + 8 + 48]

`= 1/2 xx 106`

= 53 sq. units