Question

Find the perimeter of ΔABC with vertices A (-5, 3), B(4, -5), and C(-5, -5). Round your answer to the nearest hundredth.

a) 25.34 units
b) 28.17 units
c) 29.15 units
d) 30.00 units

Answer 1

The perimeter of the triangle is approximately 25.28 units.

Step-by-step explanation:

To find the perimeter of a triangle, we need to calculate the length of each side of the triangle and then add them together.

We can use the distance formula to find the length of each side. The distance formula is given by d = √((x2 - x1)^2 + (y2 - y1)^2).

Using this formula for each side of the triangle, we find that AB = 9.22 units, BC = 8 units, and AC = 8.06 units. Adding these lengths together, we get a perimeter of approximately 25.28 units. Therefore, the nearest answer choice is option a) 25.34 units.