Answer:
6 centimeters
Step-by-step explanation:
Given : Length of RT is 10 centimeters .
Length of RS is 2x centimeters .
Length of ST is 3x centimeters .
To Find : Length of ST .
Solution :
[tex]RS = 2x[/tex]
[tex]ST=3x[/tex]
[tex]RT = 10[/tex]
Refer the given figure
we can see that RS +ST = RT
⇒[tex]2x+3x=10[/tex]
⇒[tex]5x=10[/tex]
⇒[tex]x=\frac{10}{5}[/tex]
⇒[tex]x=2[/tex]
Thus the value of x is 2
And we are given RS = 2x and ST = 3x
⇒[tex]RS = 2x = 2*2 = 4 cms[/tex]
⇒[tex]ST = 3x = 3*2 = 6 cms[/tex]
Hence , The length of ST is 6 centimeters.
