What is the solution of the system? use elimination
1 answer:
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Answer:
Answer: the other two sides are 5 feet and 12 feet
Step-by-step explanation:
Length of one side be x , that means the other side is x + 7
by Pythagoras theorem:
+
=
expanding , we have:
+
+ 14x + 49 = 169
+ 14x + 49 - 169 = 0
+ 14x - 120 = 0
divide through by 2 , we have
+ 7x - 60 = 0
By factorizing , we have
(x - 5)(x+12) = 0
Therefore:
x = 5 or x = -12
Since , the side can not be negative , so
x = 5
That means the other side will be 5+ 7 = 12