- The figure is a 10x10 square.
- A point on the top side is 6 units from the top-right corner, so it is 4 units from the top-left corner.
- A point on the bottom side is 6 units from the bottom-left corner, so it is 4 units from the bottom-right corner.
- A point on the right side is 6 units from the top-right corner, so it is 4 units from the bottom-right corner.
- A line segment of length `x` connects the point on the top side (4 units from top-left) to the point on the right side (4 units from bottom-right).
- This segment `x` is the hypotenuse of a right triangle.
- The horizontal leg of this triangle is the distance between the x-coordinates: 10 - 4 = 6.
- The vertical leg of this triangle is the distance between the y-coordinates: 10 - 4 = 6.
- By the Pythagorean theorem: `x² = 6² + 6² = 36 + 36 = 72`.
- Therefore, `x = √72 = 6√2`.
Parent Tip: Review the logic above to help your child master the concept of trigonometry puzzle worksheet.
