what is the perimeter of a triangle-like shape with sides that are:
sqrt5 - sqrt3
sqrt5 + sqrt3
4
Add the three side length numbers to get the triangle perimeter.
Looks like the sqrt 3 terms will cancel out
To find the perimeter of a triangle-like shape, we need to add up the lengths of all the sides.
Let's start by rearranging the side lengths in increasing order:
sqrt(3), sqrt(5) - sqrt(3), sqrt(5) + sqrt(3)
Now, we can add up the side lengths:
sqrt(3) + (sqrt(5) - sqrt(3)) + (sqrt(5) + sqrt(3))
When adding these terms, note that the square root terms will cancel out:
sqrt(3) - sqrt(3) + sqrt(5) + sqrt(5)
This simplifies to:
2*sqrt(5)
Therefore, the perimeter of the triangle-like shape is 2*sqrt(5).