The word that tells you to use the distance formula or Pythagorean Theorem is "Length."
Here's why:
1. When you come across a problem that involves determining the length of a side in a right triangle or the distance between two points on a coordinate plane, the word "Length" typically indicates that you should apply the Pythagorean Theorem or the distance formula.
2. The Pythagorean Theorem is used to find the length of the sides of a right triangle when you know the lengths of the other two sides. It states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
3. The distance formula is used to find the distance between two points on a coordinate plane. It calculates the straight-line distance between two points by applying the Pythagorean Theorem in a coordinate system.
Therefore, when you encounter the word "Length" in a problem, it signals that you should consider using the distance formula or the Pythagorean Theorem to find the length or distance being asked for.
