Calculating the Length of BC | Geometric Shape or Coordinate Plane?

What is the length BC?

In order to determine the length of BC, we would need additional information or context

In order to determine the length of BC, we would need additional information or context. The length BC could refer to a side in a geometric shape or a line segment in a coordinate plane.

If BC is a side of a geometric shape, such as a triangle or a quadrilateral, we would need either the lengths of other sides, the angles of the shape, or some other information to solve for BC. For example, if we have a right triangle ABC where AB = 5 units and AC = 12 units, we can use the Pythagorean theorem to find the length of BC. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. So, if BC represents the hypotenuse, we have:

BC^2 = AB^2 + AC^2
BC^2 = 5^2 + 12^2
BC^2 = 25 + 144
BC^2 = 169
BC = √169
BC = 13 units

If BC represents a line segment in a coordinate plane, we would need the coordinates of the points B and C to determine the length. The distance formula can be used to find the length of a line segment given its endpoints. If the coordinates of B are (x1, y1) and the coordinates of C are (x2, y2), the distance formula is:

BC = √((x2 – x1)^2 + (y2 – y1)^2)

By substituting the coordinates of B and C into the formula, we can calculate the length BC.

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