Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.
(1 point)
3 answers
To provide an answer, I would need the coordinates of the two points.
7,8 and 3,2
To find the distance between the two points (7,8) and (3,2), 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 two sides we are interested in are the horizontal distance (Δx) and the vertical distance (Δy) between the points.
Δx = 7 - 3 = 4
Δy = 8 - 2 = 6
We can use these values to calculate the length between the two points:
Distance = √(Δx^2 + Δy^2)
= √(4^2 + 6^2)
= √(16 + 36)
= √52
≈ 7.21
Therefore, the length between the two points (7,8) and (3,2) is approximately 7.21 when rounded to the nearest hundredth.
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 two sides we are interested in are the horizontal distance (Δx) and the vertical distance (Δy) between the points.
Δx = 7 - 3 = 4
Δy = 8 - 2 = 6
We can use these values to calculate the length between the two points:
Distance = √(Δx^2 + Δy^2)
= √(4^2 + 6^2)
= √(16 + 36)
= √52
≈ 7.21
Therefore, the length between the two points (7,8) and (3,2) is approximately 7.21 when rounded to the nearest hundredth.