SOLUTION: Can you help me find the length of the unknown side of a triangle where- a is unknown, b is 182 and c is 295?

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Question 356269: Can you help me find the length of the unknown side of a triangle where- a is unknown, b is 182 and c is 295?
Found 2 solutions by ewatrrr, vleith:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
.
*Note: Given the measures of two sides of a triangle, the measure of the third side is between their difference (in absolute value) and their sum, exclusive of each.
.
182 + 295 = 477
.
295 - 182 = 113
113 > x < 477 would be the range of values for the unknown side

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of any two sides of a triangle must be greater than the third side.
So
a%2B182+%3E+295
b%2Bc+%3E+a
a%2Bc+%3E+b
Use the given values to solve
a%3E+295-182 so a%3E+113
182%2B295+%3E+a so 477%3Ea
a+%3E+182-295 this is an invalid answer, since a cannot be negative
So
113+%3C+a+%3C+477