Question

find the coordinates of vertices of the triangle formed by the line x=1 , x-3y-1=0 and x+y-5=0. show that the line joining the point (2,1) to any vertex is perpendicular to the opposite side??
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Answer 1

Answer:

hope it helps you friend.

Answer 2

The equation of the hypotenuse is 3x+4y=4

Slope of the line is −43

Since it is an isoceles right angled triangle the angles should be 45o,45o and 90o

tan45∘=∣∣∣∣∣∣∣∣∣1+m(−43)m−(−43)∣∣∣∣∣∣∣∣∣

1=∣∣∣∣∣∣∣∣∣1−y