apply the Pythagorean theorem to find the length between (1,5 and 4,8) round your answer to the nearest hundredth

Answer 1

To find the distance between two points (x1, y1) and (x2, y2) using the Pythagorean theorem, we can use the formulas:

Length of side a = x2 - x1 = 4 - 1 = 3
Length of side b = y2 - y1 = 8 - 5 = 3

Now, applying the Pythagorean theorem:
Length of hypotenuse (c) = √(a^2 + b^2)
Length of hypotenuse (c) = √(3^2 + 3^2) = √(9 + 9) = √18

Rounding the answer to the nearest hundredth, the length between (1,5) and (4,8) is approximately 4.24.