Question

The endpoints of a triangle shape playground coordinates (-6, 6) (-10, -8) (8, -8) are grown below with each unit equal to two feet if Trina is standing at the circumcenter in Mark is standing at the ortho center find the distance between them

Answer 1

The distance between the circumcenter and the orthocenter of the triangle is approximately 19.8 feet.

The distance between two points in a coordinate plane can be found using the distance formula:

Distance = √((x2 - x1)² + (y2 - y1)²)

Using the given coordinates (-6, 6) and (8, -8), the distance between the circumcenter (Trina) and the orthocenter (Mark) can be calculated as:

Distance = √((-6 - 8)² + (6 - -8)²) = √((-14)² + (14)²) = √(196 + 196) = √392 ≈ 19.8 feet