Answer:
Explanation:
a) Here, we want to calculate the length of the sides of the triangle ABC
Firstly, we need to get the coordinates of the points
A (-7,-3)
B(-8,3)
C (-5,3)
To find the length of any of the sides, we use the distance between points formula
That would be:
[tex]D=\text{ }\sqrt{(x_2-x_1)\placeholder{⬚}^2+(y_2-y_1)\placeholder{⬚}^2}[/tex]
For BC, we have:
[tex]\begin{gathered} BC\text{ = }\sqrt{(-5+8)\placeholder{⬚}^2-(3-3)\placeholder{⬚}^2} \\ BC\text{ = 3 units} \end{gathered}[/tex]
For AC, we have:
[tex]\begin{gathered} AC\text{ = }\sqrt{(-5_+7)\placeholder{⬚}^2+(3+3)\placeholder{⬚}^2} \\ AC\text{ = }\sqrt{4\text{ + 36}} \\ AC\text{ = }\sqrt{40} \end{gathered}[/tex]
b) Here, we want to calculate the area of triangle ABC.
We can use Heron's formula here:
