Question

(1,3),(3,-1),(-5,-5) form a right angled triangle.​

Answer 1

Answer:

Step-by-step explanation:

Given  

(1,3),(3,-1),(-5,-5) form a right angled triangle.

ANSWER

Now we need to find the slopes.

So slope of AB is given by 3 – (-1) / 1 – 3 = 3 + 1 / - 2 = 4/-2 = - 2

Slope of BC is given by – 1 – (-5) / 3 – (-5) = -1 + 5/3 + 5 = 4/8 = 1/2

We know that product of slopes of two perpendicular lines is – 1

Therefore slope of AB x BC = - 2 x 1/2 = - 1

Now we know that AB is perpendicular to BC

So slope of AC = 3 – (- 5) / 1 –(- 5) = 3 + 5 / 6 = 8 / 6 = 4/3

Now AC is not perpendicular to both AB and AC, and so ABC forms a right angled triangle.