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The perimeter of a triangle measures 49 cm. one side is 7cm longer than the other and 5cm shorter than the third. find the length of each side of the triangle?
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The perimeter of a triangle measures 49 cm. one side is 7cm longer tha...
Perimeter of the Triangle:
The perimeter of the triangle is given as 49 cm.
Relationship between the Sides:
Let the three sides of the triangle be x, x+7, and x-5.
According to the problem, the perimeter is the sum of all three sides. Therefore, the equation can be set up as:
x + (x+7) + (x-5) = 49
3x + 2 = 49
3x = 47
x = 15.67
Length of each side:
Therefore, the lengths of the sides of the triangle are:
x = 15.67 cm
x+7 = 15.67 + 7 = 22.67 cm
x-5 = 15.67 - 5 = 10.67 cm
Explanation:
- The first step is to understand the relationship between the sides of the triangle based on the given information.
- Next, the perimeter equation is set up using the sum of all three sides equal to 49 cm.
- Solving the equation gives the value of x, which is used to find the lengths of each side of the triangle.
- Finally, the lengths of the sides are calculated as x, x+7, and x-5, which are 15.67 cm, 22.67 cm, and 10.67 cm respectively.
The perimeter of the triangle is given as 49 cm.
Relationship between the Sides:
Let the three sides of the triangle be x, x+7, and x-5.
According to the problem, the perimeter is the sum of all three sides. Therefore, the equation can be set up as:
x + (x+7) + (x-5) = 49
3x + 2 = 49
3x = 47
x = 15.67
Length of each side:
Therefore, the lengths of the sides of the triangle are:
x = 15.67 cm
x+7 = 15.67 + 7 = 22.67 cm
x-5 = 15.67 - 5 = 10.67 cm
Explanation:
- The first step is to understand the relationship between the sides of the triangle based on the given information.
- Next, the perimeter equation is set up using the sum of all three sides equal to 49 cm.
- Solving the equation gives the value of x, which is used to find the lengths of each side of the triangle.
- Finally, the lengths of the sides are calculated as x, x+7, and x-5, which are 15.67 cm, 22.67 cm, and 10.67 cm respectively.
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The perimeter of a triangle measures 49 cm. one side is 7cm longer than the other and 5cm shorter than the third. find the length of each side of the triangle?
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The perimeter of a triangle measures 49 cm. one side is 7cm longer than the other and 5cm shorter than the third. find the length of each side of the triangle? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The perimeter of a triangle measures 49 cm. one side is 7cm longer than the other and 5cm shorter than the third. find the length of each side of the triangle? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The perimeter of a triangle measures 49 cm. one side is 7cm longer than the other and 5cm shorter than the third. find the length of each side of the triangle?.
The perimeter of a triangle measures 49 cm. one side is 7cm longer than the other and 5cm shorter than the third. find the length of each side of the triangle? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The perimeter of a triangle measures 49 cm. one side is 7cm longer than the other and 5cm shorter than the third. find the length of each side of the triangle? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The perimeter of a triangle measures 49 cm. one side is 7cm longer than the other and 5cm shorter than the third. find the length of each side of the triangle?.
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