Question

In the diagram below of RST. L is a point on RS, and M is a point on RT, such that LM parallel to ST

If RL = 3 LS= 12 LM=7. and ST=x+ 2, what is the length of ST?

Answer 1

ST is 28

Explanation:

Using the similarity formla

RL/LS = LM/ST

3/12 = 7/x+2

3(x+2)=84

x +2= 84/3

x+2 = 28

x= 28-2

x = 26

ST = x+2

ST = 26+2

ST = 28

Hence the length of ST is 28