Question
find the length of the third side of a triangle with a perimeter of 21 in. if the sum of the other 2 sides is 15in.
Answers
Answered by
GPT 3.5
Let the lengths of the other two sides be x and 15 - x.
According to the triangle inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, we have the following inequality:
x + (15 - x) > 21 - (x + 15 - x)
Simplifying the inequality, we get:
15 > 21 - 15
15 > 6
Since the inequality is true, the given triangle is possible.
Now, we need to find the length of the third side.
Using the information given that the sum of the other two sides is 15, we have:
x + (15 - x) = 15
x + 15 - x = 15
15 = 15
Therefore, there is no information given that allows us to determine the length of the third side. Additional information is needed.
According to the triangle inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, we have the following inequality:
x + (15 - x) > 21 - (x + 15 - x)
Simplifying the inequality, we get:
15 > 21 - 15
15 > 6
Since the inequality is true, the given triangle is possible.
Now, we need to find the length of the third side.
Using the information given that the sum of the other two sides is 15, we have:
x + (15 - x) = 15
x + 15 - x = 15
15 = 15
Therefore, there is no information given that allows us to determine the length of the third side. Additional information is needed.