Question

10. Are the points A (3, 5), B (0, 2), and C (-2.10) the vertices of a right triangle? Justify your

answer.

Answer 1

yes

Explanation:

line ab^2=(3-0)^2+(5-2)^2=9+9=18

line bc^2=((0-(-2))^2+(2-10)^2=4+64=68

line ca^2=((-2)-3)^2+(10-5)^2=25+25=50

bc>CA>ab

if it's a right triangle, then bc^2=ab^2+ca^2

68=50+18

so, it's a right triangle