Answer:
Step-by-step explanation:
Vertices of the triangles are given by P, Q and R
To find the type of triangle
We use distance formula to find out the sides,PQ, QR and RP
Distance formula is
[tex]\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2)+(z_2-z_1)^2}[/tex]
a) P(3,-2,-3), Q(7,0,1), R(1,2,1)
[tex]PQ^2 = 16+4+16 =36\\QR^2 = 36+4 =40\\RP^2 = 4+16+16 = 36[/tex]
Since PQ = RP isosceles triangle
b) P(2,-1,0) Q(4,1,1), R(4,-5,4)
[tex]PQ^2 = 9\\QR^2 = 45\\RP^2 = 36[/tex]
Since pythagorean theorem is satisfied, it is a right triangle.
