In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
P(6,-6)
Q(9,-7)
R(7,-4)
A = ?
Step 02:
To solve the exercise we must know the length of the sides.To solve the exercise we must know the length of the sides.
A = (b * h) / 2
side PR = b
side PQ = h
[tex]d\text{ = }\sqrt[]{(x2-x1)^{2}+(y2-y1)^{2}}[/tex][tex]b\text{ = }\sqrt[]{(7-6)^2+(-4-(-6))^2}[/tex][tex]b=\text{ }\sqrt[]{1+4}=\sqrt[]{5}=2.236[/tex][tex]\begin{gathered} h\text{ = }\sqrt[]{(9-6)^{2}+(-7-(-6))^{2}} \\ h\text{ = }\sqrt[]{9+1}=\sqrt[]{10}=3.162 \end{gathered}[/tex]Step 03:
A = (2.236*3.162) / 2 = 3.5355
The answer is:
3.54 ft²
