A triangle has vertices at (–4, 5), (–4, –3), and (2, 3). What is the approximate perimeter of the triangle?

Answer 1

To find the perimeter of the triangle, we need to add up the lengths of all three sides. Using the distance formula:

- The length of the first side (between points (–4, 5) and (–4, –3)) is |5 – (–3)| = 8 units.
- The length of the second side (between points (–4, –3) and (2, 3)) is √[ (2 – (–4))^2 + (3 – (–3))^2 ] ≈ 10.63 units.
- The length of the third side (between points (2, 3) and (–4, 5)) is √[ (–4 – 2)^2 + (5 – 3)^2 ] ≈ 8.25 units.

Adding up all three side lengths, we get:

8 + 10.63 + 8.25 ≈ 27.88 units

Therefore, the approximate perimeter of the triangle is 27.88 units.