apply the Pythagorean theorem to find the distance of (1, 5) and (9, 8) round to the nearest hundredth
To find the distance between the points (1, 5) and (9, 8), we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the horizontal difference between the x-coordinates of the two points is 9 - 1 = 8, and the vertical difference between the y-coordinates of the two points is 8 - 5 = 3.
Using these differences as the lengths of the sides of a right triangle, we can find the length of the hypotenuse as follows:
h^2 = 8^2 + 3^2
h^2 = 64 + 9
h^2 = 73
Taking the square root of both sides, we get:
h = √73
h ≈ 8.54
Rounding to the nearest hundredth, the distance between the two points is approximately 8.54.