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

Algebra ->  Triangles -> 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      Log On


   

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) About Me  (Show Source):
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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. 


Write the area of the triangle ABC in two ways

    area%5BABC%5D = %281%2F2%29%2ABC%2AAD  and  area%5BABC%5D = %281%2F2%29%2AAC%2ADE%29.


It will give you this equation

    29*20 = 21*AC.


From it, you find  AC = %2829%2A20%29%2F21 = 27.61904762  (approximately).    ANSWER


You may round it as you want.

Solved.


Happy leaning (!)