Question

Find the perimeter of an equilateral triangle of which one side consists of point P(1, 5) and Q(3, 10). Reminder, perimeter means add all three sides.

Answer 1

3√29 ≈ 16.155

Explanation:

The distance formula can be used to find the length of the given side.

d = √((x2-x1)^2 +(y2-y1)^2)

PQ = √((3-1)^2 +(10-5)^2) = √(4 +25) = √29

The equilateral triangle has three same-length sides (the literal meaning of "equilateral"), so the perimeter is ...

Perimeter = 3×PQ = 3√29