Question

Prove that the points (-2,3),(8,3),(6,7) are the vertices of a right angle triangle.also find the length of the hypotenuse

Answer 1

Explanation:

1/2 [A B C A]

=1/2 [-2 8 6 -2]

[3 3 7 3]

=1/2 [-6+56+18 ] - [21+18- 14]

1\2 (74)- 39+14

49/2 =24.5

SLOPE =0/6=AB

SLOPE =4/2=2=BC

SLOPE =4/4=1

CB SQUARE =AB SQUARE +AC SQUARE

" =0+1

=1

hypotenuse =1