If w, v, and u are the midpoints of triangle srt, find sr.

a.
1.7
b.
2.3
c.
3.4
d.
4.6

4.6

Step-by-step explanation:

W is the mid point of ST

U is the mid point of SR

V is the mid point of TR

Mid point theorem : It states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

So By theorem,

WU = 1.7

So,  

Since V is the midpoint of RT

So,

Basic Proportionality Theorem : It states that, if a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.

So, Using theorem :

So,

Thus the length of SR is 4.6

Hence Option D is true.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional