Question

Find the area of triangle DEF with vertices D(1,3) E(4, -3), and F(-4,-3).​

Answer 1

Answer: 24 sq. units

Step-by-step explanation:

This is done by the formula

Area of triangle = 1/2 | {x1 (y2-y3) + x2 (y3-y1) x3 (y1-y2)} |

Answer 2

Answer:

Area of the triangle = 24 square units

Step-by-step explanation:

Given data

vertices of the triangle DEF are D(1, 3) E(4, -3) and F(-4, -3)

here we need to find area of the triangle DEF

The area of the triangle with vertices (x₁, y₁) (x₂, y₂) and (x₃, y₃)

 Δ  = $\frac{1}{2}$ | x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₂-y₁) |  

area of the triangle with vertices D(1, 3) E(4, -3) and F(-4, -3)

     = 1/2 | 1 ( -3-(-3)) + 4(-3-3) +(-4)(3-(-3)) |

     = 1/2 | 1(-3+3) + 4(-6) - 4(6) |

     = 1/2 | 0 - 24 -24 |

     = 1/2 (48) = 24 square units