Question 1209531
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(64) Triangle ABC has AD ⊥ BC and BE ⊥ AC. If AD = 20, BC = 29 and BE = 21, then find the length of AC.

Link to diagram: https://ibb.co/zc6R9gz
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        This problem is  EXTREMELY  simple.



<pre>
Write the area of the triangle ABC in two ways

    {{{area[ABC]}}} = {{{(1/2)*BC*AD}}}  and  {{{area[ABC]}}} = {{{(1/2)*AC*DE)}}}.


It will give you this equation

    29*20 = 21*AC.


From it, you find  AC = {{{(29*20)/21}}} = 27.61904762  (approximately).    <U>ANSWER</U>


You may round it as you want.
</pre>

Solved.



Happy leaning (!)