Question

Apply the Pythagorean theorem to find the length between two points round your answer to the nearest hundredth -2 to 4

Answer 1

To apply the Pythagorean theorem to find the length between two points, we need to know the coordinates of the points. In this case, the given points are (-2, 0) and (4, 0).

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse is the line segment connecting the two points, and the other two sides are the horizontal and vertical distances between the points.

Using the coordinates, we can calculate the horizontal distance as follows:
Horizontal distance = 4 - (-2) = 6

Since both points have the same y-coordinate (0), the vertical distance is zero.

Now we can apply the Pythagorean theorem:
Length^2 = (Horizontal distance)^2 + (Vertical distance)^2
Length^2 = 6^2 + 0^2
Length^2 = 36

To find the actual length, we take the square root of both sides:
Length = √36
Length ≈ 6

Therefore, the length between the points (-2, 0) and (4, 0) is approximately 6 units.