Question

What is the length of the longest side of a triangle that has vertices at (-3, -2), (2, -2), and (-3, -7)?

Answer 1

5√2

Explanation:

The triangle with the vertices given is a right triangle, as shown on the grid below.

Therefore, the length of the hypotenuse is the length of the longest side of the triangle.

The base of the triangle measures 5 units, and the height of the triangle measures 5 units. Use the Pythagorean theorem to find the length of the hypotenuse.

Therefore, the length of the longest side of the triangle measures units.

Answer 2

A(-3.-2)
B(2,-2)
C(-3,-7)
<I just set this up to help me with my calculations>
Side AB=5
Side AC=5
Side BC=5√2 ← This should be your answer

I hope this helps. I used the distance formula to find the measurements of each side.
I really hope this helps have a nice day!!