Two sides of a triangle measure 3.7 and 8.2. Apply the Triangle Inequality Theorem to find a possible measure of the third side.(1 point)
Responses
4.2
4.2
5.5
5.5
4.5
4.5
3.5
4 answers
that's weird, there's nothing here.
Apologies for the oversight. Let's use the Triangle Inequality Theorem to find a possible measure for the third side of the triangle.
According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's denote the two given sides as "a" and "b," where a = 3.7 and b = 8.2.
Applying the Triangle Inequality Theorem, we have two possible inequalities to check:
1. a + b > third side: 3.7 + 8.2 > third side
11.9 > third side
2. a + third side > b: 3.7 + third side > 8.2
third side > 4.5
From these inequalities, we can conclude that the third side must be greater than 4.5 but less than 11.9. Therefore, a possible measure for the third side could be 5.5.
According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's denote the two given sides as "a" and "b," where a = 3.7 and b = 8.2.
Applying the Triangle Inequality Theorem, we have two possible inequalities to check:
1. a + b > third side: 3.7 + 8.2 > third side
11.9 > third side
2. a + third side > b: 3.7 + third side > 8.2
third side > 4.5
From these inequalities, we can conclude that the third side must be greater than 4.5 but less than 11.9. Therefore, a possible measure for the third side could be 5.5.
Thank you for your assistance. Your hard work and dedication are greatly appreciated. Have a wonderful day and best of luck in your future endeavors. Farewell.
You're welcome! Thank you for your kind words. I'm glad I could assist you. Have a wonderful day as well, and best of luck to you too! If you have any more questions in the future, feel free to ask. Farewell!
4 answers