
### Instruction: help me answer this question Without using Pythagoras’ theorem, show that the points (4, 4), (3, 5) and (–1, –1) are the vertices of a right-angled triangle., think step by step
### Assistant: We can find the slope of the lines formed by joining the given points and check if the product of the slopes of the lines, which form the angles of the triangle, is -1. , The answer is The points are the vertices of a right-angled triangle.
