Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

If (-1, 2) and (2, -1) are two opposite vertices of a square, what is the perimeter of the square?

Sagot :

The sides length of the square is 3 units, then the perimeter of the square is 12 units.

What is a square?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If (-1, 2) and (2, -1) are two opposite vertices of a square, then the perimeter of the square will be

The other two vertices of the square will be

(-1, -1) and (2, 2)

Then the distance between the points (2, 2) and (2, -1) will be

[tex]\rm D = \sqrt{(2-2)^2+ (-1-2)^2}\\\\D = \sqrt{3^2}\\\\D = 3[/tex]

Then the perimeter of the square will be

Perimeter = 4 × 3

Perimeter = 12 units

More about the square link is given below.

https://brainly.com/question/13747846

#SPJ1