AndersJ379175 AndersJ379175
  • 27-10-2022
  • Mathematics
contestada

Two sides of an isosceles triangle have lengths of 2 and 12 . What is the length of the third state ?

Two sides of an isosceles triangle have lengths of 2 and 12 What is the length of the third state class=

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LyndsiX529393 LyndsiX529393
  • 27-10-2022

An isosceles triangle have two equal sides. In this case, it can be either 2 or 12. One of them is correct, and we can use the existence theorem of a triangle. That is:

|L1 - L2| < L3 < L1 + L2

Here, we can choose: L1 = 2 and L2 = 12 (the order doesn't matter)

|2 - 12| < L3 < 2 + 12

10 < L3 < 14

So the remaining side must be greater than 10 and smaller than 14.

The correct lenght of L3 is 12

Option C is the correct answer

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