Question 1114027
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(1) Use Heron's formula to find the area of the triangle.<br>
{{{A = sqrt(34*2*8*24) = 16*sqrt(51)}}}<br>
(2) Use the area of the triangle and the length of AB to find the length of CH.<br>
{{{16*sqrt(51) = (1/2)(32)(CH)}}}
{{{CH = sqrt(51)}}}<br>
(3) Use the lengths of CH and CB to find the length of BH.<br>
{{{BH^2 = 10^2-(sqrt(51))^2 = 49}}}
{{{BH = 7}}}<br>
(4) Use the lengths of BM and BH to find th length of HM.<br>
{{{7+HM = 16}}}
{{{HM = 9}}}