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ABC is a right angled triangle with∠B=90∘. M is the midpoint of AC and BM=117​. Sum of the lengths of the other two sides AB and BC is 30. Find the area of the triangle ABC.

 Jul 25, 2020
 #2
avatar+1326 
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check your numbers; something's not rightcheeky

 Jul 25, 2020
edited by Dragan  Jul 25, 2020
 #3
avatar+110758 
+1

Yes the triangle is impossible.

BM cannot be 117

Here is an illustration why.

 

 Jul 25, 2020

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