Question

Show that the point (1,-4),(2,-3) and (4,-7) form a right angled triangle

Answer 1

Answer:

Thus ABC is a right angle triangle

BC is the biggest side so it is the hypotenuse

So A is right angle

Step-by-step explanation:

Let A(1,-4),B(2,-3) and C (4,-7)

AB²=(2-1)²+-3+4²=2

BC²=(4-2)²+ (-7+3)²=2²+(-4)²

=4+16=20

CA²=( 4-1)² + (-7+4)²

=9+9=18

We see

AB²+CA²=2+1820=BC²

So AB²+CA²=BC²

Thus ABC is a right angle triangle

BC is the biggest side so it is the hypotenuse

So A is right angle