Question 1114027
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1.  Using the Heron's formula, calculate the area  S  of the triangle ABC.

    The side lengths are given.


2.  Next step find the length of the altitude CH from equation  {{{(1/2)*abs(AB)*abs(CH)}}} = S.


3.  Consider right-angled triangle AHC.  In it, you know AC = 26. 

    In section 2 you just also found the length  |CH|.

    So you can find the leg  |AH|.


3.  Now you know  |AM|  (it is 16 units, half of  |AB|).

    You also know  |AH|.


    The difference  |AB|  minus  |AH|  is the length  |MH|  under the question.
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