In triangle ABC ,AB=5 ,AC=7 and x>BC>y find value of x and y
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Answer:
x = 12 and y = 2
Step-by-step explanation:
Hi,
Given a triangle ABC in which their sides
AB = 5 units
AC = 7 units.
and 3 rd side BC is not given.
We know that in a triangle Sum of 2 sides is always greater than the 3 rd side
Hence AB + AC is always greater than BC
=> 5 + 7 > BC
=> BC < 12-----------------------(1)
We know that in a triangle , difference of 2 sides is always less than the 3 rd side.
Hence AC - AB is always less than BC
=> 7 - 5 < BC
=> BC > 2..............................(2)
From (1) and (2), we can say that
2 < BC < 12.
Hence, x = 12 and y = 2
Hope, it helps !
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