Question

Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number, if necessary. Right triangle with vertices at (-7, 4), (-7, -1), and (5, -1).

Options:
Option 1: 5 units
Option 2: 12 units
Option 3: 13 units
Option 4: 30 units

Answer 1

The perimeter of the right triangle is 30 units.

Step-by-step explanation:

To determine the perimeter of the right triangle, we need to calculate the lengths of all three sides and then add them together. We can use the distance formula to find the lengths of the sides.

Using the distance formula, we find that the length of the side between (-7, 4) and (-7, -1) is 5 units, the length of the side between (-7, -1) and (5, -1) is 12 units, and the length of the side between (5, -1) and (-7, 4) is 13 units.

Adding these lengths together, the perimeter of the right triangle is 5 + 12 + 13 = 30 units. Therefore, the correct option is Option 4: 30 units.