Find the lengths of the sides of the triangle with the indicated vertices. $( 0,0,0 ) , ( 3,3,1 ) , ( 5 , - 1,2 )$
A)d1= $\sqrt { 19 }$ ,d2= $\sqrt { 30 }$ ,d3= $\sqrt { 19 }$
B)d1= $\sqrt { 30 }$ ,d2= $\sqrt { 30 }$ ,d3= $\sqrt { 21 }$
C)d1= $\sqrt { 19 }$ ,d2= $\sqrt { 19 }$ ,d3= $\sqrt { 21 }$
D)d1= $\sqrt { 19 }$ ,d2= $\sqrt { 30 }$ ,d3= $\sqrt { 21 }$
E)d1= $\sqrt { 21 }$ ,d2= $\sqrt { 30 }$ ,d3= $\sqrt { 21 }$

Question

Find the lengths of the sides of the triangle with the indicated vertices.  $( 0,0,0 ) , ( 3,3,1 ) , ( 5 , - 1,2 )$ 
A)d1= $\sqrt { 19 }$ ,d2= $\sqrt { 30 }$ ,d3= $\sqrt { 19 }$
B)d1= $\sqrt { 30 }$ ,d2= $\sqrt { 30 }$ ,d3= $\sqrt { 21 }$
C)d1= $\sqrt { 19 }$ ,d2= $\sqrt { 19 }$ ,d3= $\sqrt { 21 }$
D)d1= $\sqrt { 19 }$ ,d2= $\sqrt { 30 }$ ,d3= $\sqrt { 21 }$
E)d1= $\sqrt { 21 }$ ,d2= $\sqrt { 30 }$ ,d3= $\sqrt { 21 }$

Quizplus · Accepted Answer

The lengths of the sides of the triangle can be found using the distance formula in 3D: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2}$. Calculating the distances between the points gives $d1= \sqrt { 19 }$, $d2= \sqrt { 30 }$, and $d3= \sqrt { 21 }$.

Find the Lengths of the Sides of the Triangle with the Indicated