SOLUTION: In right △ABC with right ∠C, AB = 20 and BC = 16. Find the length of MB, if M is the midpoint of AC.

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Question 1193601: In right △ABC with right ∠C,
AB = 20 and BC = 16.
Find the length of MB, if M is the midpoint of AC.
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
In right △ABC with right ∠C,
AB = 20 and BC = 16.
Find the length of MB, if M is the midpoint of AC.
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Your first step is to use Pythagoras to find the leg AC

    AC = sqrt%2820%5E2-16%5E2%29 = sqrt%28400-256%29 = sqrt%28144%29 = 12.



Your next step is to divide  12  by  2  to find the length CM :  CM = 12/2 = 6.



You final step is to find MB using Pythagoras again

    MB = sqrt%2816%5E2+%2B+6%5E2%29 = sqrt%28256%2B36%29 = sqrt%28292%29 = 2%2Asqrt%2873%29 = 17.088  units (approximately).    ANSWER

Solved.


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