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