Question

What is the area in square graph units, of the triangle?

Answer 1

To solve the question, we will need to get the dimensions of the triangle, to do this, we will re-sketch the image as follow:

If we count the units of squares in the image, we will discover that the dimensions are as shown above

where

`\begin{gathered} AE=4 \\ AC=\sqrt[]{8^2+10^2}=\sqrt[]{164}=12.806 \\ ED=\sqrt[]{6^2+8^2}=\sqrt[]{100}=10 \end{gathered}`

Hence, we will use heron's formula to solve for the area

The formula to be used is

`A=\sqrt[]{s(s-a)(s-b)(s-c)}`

where