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

Answer:

$5\sqrt{10}$ feet

Step-by-step explanation:

Find RT:

RS = 12 and ST= 5, RT =?

Use the Pythagorean Theorem

$12^{2} + 5^{2} = RT^{2}$

$144 + 25 = RT^{2}$

$\sqrt{169} =RT$

13 = RT

Find MT:

RT = 13 and MR= 9, MT=?

$13^{2} +9^{2}= MT^{2}$

$169 + 81 = MT^{2}$

$\sqrt{250} = MT$

$5\sqrt{10}$ = MT