Answer:
Step-by-step explanation:
Given: The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2).
To find: coordinates of vertex of the right angle
Solution:
Let C be point
Distance between points is given by
ΔABC is a right angled triangle, suing Pythagoras theorem (square of hypotenuse is equal to sum of squares of base and perpendicular)
Put
which is true. So, can be a vertex
Put
which is true. So, can be a vertex
Put
which is not true. So, cannot be a vertex
Put
which is not true. So, cannot be a vertex
Put
which is not true. So, cannot be a vertex
Put
which is not true. So, cannot be a vertex
So, possible points for the vertex are