distance between (4,7) and (19,27)

Question

i need the ditance 

Answer 1

The distance between two points is given by the formula:√((x₂-x₁)²+(y₂-y₁)²) = Distance. This is the same formula as the Pythagorean Theorem. You are just using the two points to construct a right triangle. Subtracting the two values of x gives the length of the horizontal leg of the triangle, and subtracting the two values of y gives the length of the vertical leg of the triangle. Then you use the Pythagorean Theorem to find the hypotenuse of the triangle, which is the distance between the two points.

 

Distance = √((x2-x1)²+(y2-y1)²

x₂=19; x₁=4; y₂=27; y₁=7 Plug these values into the formula and calculate 

D = √((19-4)²+(27-7)²

D = √((15)²+(20)²

D = √(225 + 400)

D = √625

D = 25