00:01
So we are given 3 points minus 1, 3, 35 and 51.
00:15
Now we are told to show that these points form the vertices of a polygon, the polygon given is a right angled triangle.
00:26
So in a right angle triangle, say a, b, c, if ac is the hypotenuse, according to the pythagoras theorem, ac squared is equal to the sum of squares of the other two sides, which are b .c.
00:46
And a .b.
00:49
So in order to find, in order to find the distance between these points, let's use the distance.
00:58
Formula and after finding the distance between each of these points we can put the results into the pythagoras theorem and if it satisfies the pythagoras theorem we can say that these points form the vertices of a right -angled triangle so let's name them first let's minus 1 3b a 35 b b and 5 1 bc so a b would be the distance between minus 1 3 and 3 5.
01:34
According to distance formula, the distance between a general point, say x1 y1 and x2 y2 is given as root of x2 minus x1 whole squared plus y2 minus y1 plus y2 minus y1 whole square.
02:06
So let's use this formula out here...
