Question

Find the area of ∆𝑨𝑩𝑪 using Heron’s formula. The vertices of the triangle are 𝑨(𝟏, 𝟎), 𝑩(𝟒, 𝟒), and 𝑪(𝟕, 𝟎).​

Answer 1

Step 1: Write down the distance formula.
$\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$

Step 2: Find AB, BC, and CA

Step 3: Find the area of ∆ABC using Heron’s formula.