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If lenghts of two sides of a triangle are 12 cm and 15 cm. between what two measures to the length of the third side shouild fall?
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If lenghts of two sides of a triangle are 12 cm and 15 cm. between wha...
Explaining the Triangle Inequality Theorem:
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In simpler terms, if you have two sides of a triangle, you can determine a range within which the third side must fall.
Given Information:
- Side 1: 12 cm
- Side 2: 15 cm
Finding the Range for the Third Side:
To find the range for the length of the third side, we can use the Triangle Inequality Theorem. The third side must be greater than the absolute value of the difference between the other two sides and less than the sum of the other two sides.
- Lower limit: |15 - 12| = 3 cm
- Upper limit: 15 + 12 = 27 cm
Therefore, the third side of the triangle should fall between 3 cm and 27 cm in length for it to be a valid triangle based on the Triangle Inequality Theorem. This means that any side length between 3 cm and 27 cm can form a triangle with sides of 12 cm and 15 cm.
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In simpler terms, if you have two sides of a triangle, you can determine a range within which the third side must fall.
Given Information:
- Side 1: 12 cm
- Side 2: 15 cm
Finding the Range for the Third Side:
To find the range for the length of the third side, we can use the Triangle Inequality Theorem. The third side must be greater than the absolute value of the difference between the other two sides and less than the sum of the other two sides.
- Lower limit: |15 - 12| = 3 cm
- Upper limit: 15 + 12 = 27 cm
Therefore, the third side of the triangle should fall between 3 cm and 27 cm in length for it to be a valid triangle based on the Triangle Inequality Theorem. This means that any side length between 3 cm and 27 cm can form a triangle with sides of 12 cm and 15 cm.
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If lenghts of two sides of a triangle are 12 cm and 15 cm. between what two measures to the length of the third side shouild fall?
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If lenghts of two sides of a triangle are 12 cm and 15 cm. between what two measures to the length of the third side shouild fall? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If lenghts of two sides of a triangle are 12 cm and 15 cm. between what two measures to the length of the third side shouild fall? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If lenghts of two sides of a triangle are 12 cm and 15 cm. between what two measures to the length of the third side shouild fall?.
If lenghts of two sides of a triangle are 12 cm and 15 cm. between what two measures to the length of the third side shouild fall? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If lenghts of two sides of a triangle are 12 cm and 15 cm. between what two measures to the length of the third side shouild fall? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If lenghts of two sides of a triangle are 12 cm and 15 cm. between what two measures to the length of the third side shouild fall?.
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