Find the lengths of the sides of the triangle with the indicated vertices. $( 0,0,4 ) , ( - 4,3,4 ) , ( 0,4,0 )$
A)d1= $4 \sqrt { 2 }$ ,d2= $4 \sqrt { 2 }$ ,d3= $\sqrt { 33 }$
B)d1= $5$ ,d2= $4 \sqrt { 2 }$ ,d3= $5$
C)d1= $5$ ,d2= $4 \sqrt { 2 }$ ,d3= $\sqrt { 33 }$
D)d1= $5$ ,d2= $5$ ,d3= $\sqrt { 33 }$
E)d1= $\sqrt { 33 }$ ,d2= $4 \sqrt { 2 }$ ,d3= $\sqrt { 33 }$

Question

Find the lengths of the sides of the triangle with the indicated vertices.  $( 0,0,4 ) , ( - 4,3,4 ) , ( 0,4,0 )$ 
A)d1= $4 \sqrt { 2 }$ ,d2= $4 \sqrt { 2 }$ ,d3= $\sqrt { 33 }$
B)d1= $5$ ,d2= $4 \sqrt { 2 }$ ,d3= $5$
C)d1= $5$ ,d2= $4 \sqrt { 2 }$ ,d3= $\sqrt { 33 }$
D)d1= $5$ ,d2= $5$ ,d3= $\sqrt { 33 }$
E)d1= $\sqrt { 33 }$ ,d2= $4 \sqrt { 2 }$ ,d3= $\sqrt { 33 }$

Quizplus · Accepted Answer

The distances between the points are calculated using the distance formula in 3D: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2}$. Calculating for each pair of points gives the lengths $d1=5$, $d2=4\sqrt{2}$, and $d3=\sqrt{33}$.

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