Question

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth. (3,2), (7,8)

Answer 1

To find the length between the two points (3,2) and (7,8), we can use the Pythagorean Theorem.

The formula for the Pythagorean Theorem is:

c^2 = a^2 + b^2

Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

In this case, we can consider the difference in the x-coordinates (7-3 = 4) as the length of side a, and the difference in the y-coordinates (8-2 = 6) as the length of side b.

Plugging these values into the formula, we have:

c^2 = 4^2 + 6^2
c^2 = 16 + 36
c^2 = 52

To find the value of c, we take the square root of both sides:

c = √52
c ≈ 7.21

Therefore, the length between the two points (3,2) and (7,8) is approximately 7.21 units.