In the figure, M and N are midpoints of RT and ST. What is the length of MN?

a. a + b
b. b - a
c. 2

I think it's B. What do you think?

In the figure M and N are midpoints of RT and ST What is the length of MN a a b b b a c 2 I think its B What do you think class=

Respuesta :

Length RS = 2b - 2a

Given that N is the midpoint of TS
⇒  Ratio of TN : TS = 1 : 2

[tex] \dfrac{TN}{TS} = \dfrac{MN}{RS} [/tex]

[tex] \dfrac{1}{2} = \dfrac{MN}{2b-2a} [/tex]

[tex]2MN = 2b - 2a[/tex]

[tex]MN = b - a[/tex]

Answer: b - a