Question

what is the answer for a triangle GHI with vertices G(-4,2) H(-2,4) and I(-7,7) drawn inside a rectangle. what is thecarea in square units of triangle GHI

Answer 1

8√2 u ²

1) Since, we've been given those points let's find their distances through this formula below, derived from the Pythagorean Theorem:

Side GH:

`\begin{gathered} d_(GH)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2\text{ }}_{} \\ d_(GH)=\sqrt[]{(-2_{}+4_{})^2+(4-2)^2\text{ }} \\ d_(GH)=2\sqrt[]{2} \\ \\ \\ \\ \end{gathered}`

2) Plotting the graph and using the side GH as the base and tracing a height 8 units plugging into the formula for the area