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The length two sides of a triangle are 12cm and 14cm . The perimeter of the triangle is 36cm. What is the length of its third side?
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The length two sides of a triangle are 12cm and 14cm . The perimeter o...
**Given Information:**
- Length of one side of the triangle = 12 cm
- Length of another side of the triangle = 14 cm
- Perimeter of the triangle = 36 cm
**Finding the Length of the Third Side:**
To find the length of the third side of the triangle, we can use the property that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's assume the length of the third side of the triangle as 'x' cm.
According to the triangle inequality theorem, we have the following inequality:
12 + 14 > x
Simplifying the inequality:
26 > x
Therefore, the length of the third side must be less than 26 cm.
**Determining the Range of Possible Lengths:**
Now, let's consider the perimeter of the triangle. The perimeter is the sum of the lengths of all three sides of the triangle.
Perimeter = Length of side 1 + Length of side 2 + Length of side 3
36 = 12 + 14 + x
Simplifying the equation:
36 = 26 + x
Subtracting 26 from both sides:
10 = x
Therefore, the length of the third side must be 10 cm.
**Conclusion:**
The length of the third side of the triangle is 10 cm.
- Length of one side of the triangle = 12 cm
- Length of another side of the triangle = 14 cm
- Perimeter of the triangle = 36 cm
**Finding the Length of the Third Side:**
To find the length of the third side of the triangle, we can use the property that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's assume the length of the third side of the triangle as 'x' cm.
According to the triangle inequality theorem, we have the following inequality:
12 + 14 > x
Simplifying the inequality:
26 > x
Therefore, the length of the third side must be less than 26 cm.
**Determining the Range of Possible Lengths:**
Now, let's consider the perimeter of the triangle. The perimeter is the sum of the lengths of all three sides of the triangle.
Perimeter = Length of side 1 + Length of side 2 + Length of side 3
36 = 12 + 14 + x
Simplifying the equation:
36 = 26 + x
Subtracting 26 from both sides:
10 = x
Therefore, the length of the third side must be 10 cm.
**Conclusion:**
The length of the third side of the triangle is 10 cm.
Community Answer
The length two sides of a triangle are 12cm and 14cm . The perimeter o...
Its 10
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The length two sides of a triangle are 12cm and 14cm . The perimeter of the triangle is 36cm. What is the length of its third side?
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The length two sides of a triangle are 12cm and 14cm . The perimeter of the triangle is 36cm. What is the length of its third side? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The length two sides of a triangle are 12cm and 14cm . The perimeter of the triangle is 36cm. What is the length of its third side? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length two sides of a triangle are 12cm and 14cm . The perimeter of the triangle is 36cm. What is the length of its third side?.
The length two sides of a triangle are 12cm and 14cm . The perimeter of the triangle is 36cm. What is the length of its third side? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The length two sides of a triangle are 12cm and 14cm . The perimeter of the triangle is 36cm. What is the length of its third side? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length two sides of a triangle are 12cm and 14cm . The perimeter of the triangle is 36cm. What is the length of its third side?.
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