Question

If RT is 10 centimeters long, what is ST?

2 centimeters

4 centimeters

6 centimeters

8 centimeters

Answer 1

The answer is 6 centimeters

Answer 2

6 centimeters

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=(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.