Question

Use the Pythagorean Theorem to find the distance between points F and C. A) 2 3 B) 3 5 C) 4 3 D) 4 1

Answer 1

The distance between points F and C can be found using the Pythagorean Theorem. In this case, the distance is 2.

Step-by-step explanation:

The distance between points F and C can be found using the Pythagorean Theorem. The theorem states that for any 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, points F and C form the legs of the right triangle and the distance between them is the hypotenuse.

Using the Pythagorean theorem formula, we can calculate the distance as follows:

c = √(a² + b²)

where a and b are the lengths of the legs.

In this specific case, since we are given the answer choices in the form of coordinate points, we can find the lengths of the legs using the coordinates of points F and C and then substitute those values into the formula to find the distance.

Let's examine the answer choices:

1. 2 3
2. 3 5
3. 4 3
4. 4 1

Only the coordinate pairs (2, 3) and (4, 3) form a right triangle when plotted on a graph. The distance between these points can be found using the Pythagorean theorem:

c = √((4-2)² + (3-3)²) = √(2² + 0²) = √4 = 2

Therefore, the distance between points F and C is 2.