SOLUTION: (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

Question 1209531: (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
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

This problem is EXTREMELY simple.

Write the area of the triangle ABC in two ways

     =   and   = .


It will give you this equation

    29*20 = 21*AC.


From it, you find  AC =  = 27.61904762  (approximately).    ANSWER


You may round it as you want.

Solved.

Happy leaning (!)

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