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 :
\(RS = 2x\)
\(ST=3x\)
\(RT = 10\)
Refer the given figure
we can see that RS +ST = RT
⇒\(2x+3x=10\)
⇒\(5x=10\)
⇒\(x=\frac{10}{5}\)
⇒\(x=2\)
Thus the value of x is 2
And we are given RS = 2x and ST = 3x
⇒\(RS = 2x = 2*2 = 4 cms\)
⇒\(ST = 3x = 3*2 = 6 cms\)
Hence , The length of ST is 6 centimeters.
