Amedian of a triangle is a line segment joining a vertex to the midpoint of the opposite side. find the lengths of the median of the triangle with vertices a(1,2,3), b(-2,0,5), and c(4,1,5)

.

.

.

Step-by-step explanation:

The given points are A(1,2,3), B(-2,0,5) and C(4,1,5). The triangle is represented in the attach file where the three possible median are length AE, BF, and CD. We determine the coordinate of point D,E and F using the midpoint equation which is for any point A(x,y,z) and point B(a,b,c), the midpoint D is determine by

.

Hence going by the above formula we determine the coordinate of point D,E and F

.

.

point E

.

.

Point F

.

.

To determine the length of each median line we use the formula for distance between two points which is express as

.

Using the above formula we determine the length of line AE,BF and CD.

.

.

.

.

For point BF

.

.

.

.

For point CD

.

.

.

.

there are 25 people coming to the party

step-by-step explanation:

the text says that there will be 22 children at this party, 1 teacher, and 2 parents. so if you add them all together (22+1+2) it will equal 25. (=25)