Question

In the rectangular prism below, the length of MR is 9 feet, the length of RS is 12 feet, and the length of ST is 5 feet. What is the length of the line segment drawn from point T to point M?

*Note: Figure not drawn to scale.
a
16 feet

b
5√10 feet

c
250 feet

d
5√5 feet

Answer 1

`5√(10)` feet

Explanation:

Find RT:

RS = 12 and ST= 5, RT =?

Use the Pythagorean Theorem

`12^(2) + 5^(2) = RT^(2)`

`144 + 25 = RT^(2)`

`√(169) =RT`

13 = RT

Find MT:

RT = 13 and MR= 9, MT=?

`13^(2) +9^(2)= MT^(2)`

`169 + 81 = MT^(2)`

`√(250) = MT`

`5√(10)` = MT