Question

Calculate the distance between the points F=-1,-4) and c=(3,-9) and in the coordinate plane. Give an exact answer (not a decimal approximation).

Answer 1

• Imagine we are using these two points to draw a triangle where new point E is a right angle with coordinates (-1, -9)
• FE = 5
• EC = 4
• FE^2 + EC^2 = FC^2
• (25) + (16) = 41 = FC^2
• FC = square root(41)