Final answer:
To rotate a triangle 90 degrees clockwise around a vertex, we can use the formula: X' = X cos(90º) - Y sin(90º) and Y' = X sin(90º) + Y cos(90º).
Step-by-step explanation:
To rotate a triangle 90 degrees clockwise around a vertex, we can use the formula: X' = X cos(90º) - Y sin(90º) and Y' = X sin(90º) + Y cos(90º).
If we have the coordinates of vertex X as (x1, y1), the new coordinates X' and Y' will be:
X' = x1 * cos(90º) - y1 * sin(90º)
Y' = x1 * sin(90º) + y1 * cos(90º)
Plug in the values of x1 and y1 from the given triangle XYZ to find the new coordinates.