The perimeter of the triangle with vertices at and is
Explanation for the correct option:
Step 1: State the given data and formula used.
The given coordinates of the vertices of a triangle are and .
Let, and be the coordinates of the vertices and respectively of the .
So, and are the sides of .
Now, we know that in a three-dimensional space (-space), the distance between two points and can be calculated by the following formula,
Step 2: Calculate the lengths of each side.
In the , and are the vertices.
The lengths of the sides and can be calculated using the distance formula as follows,
And,
And,
Step 3: Calculate the perimeter of the triangle.
Now, as we know, the perimeter of a triangle is the sum of the lengths of its side. So,
The perimeter of the triangle
The perimeter of the triangle
The perimeter of the triangle
Hence, option is the correct option.