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If the perimeter of an equilateral triangle is 36 cm, what is the length of each
If the perimeter of an equilateral triangle is 36 cm, what is the length of each side?
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If the perimeter of an equilateral triangle is 36 cm, what is the length of each side?
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In an equilateral triangle, all sides are equal. Therefore, if the perimeter is 36 cm, each side is 36/3 = 12 cm.
Questions & Step-by-step Solutions
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Q
Q: If the perimeter of an equilateral triangle is 36 cm, what is the length of each side?
Solution:
In an equilateral triangle, all sides are equal. Therefore, if the perimeter is 36 cm, each side is 36/3 = 12 cm.
Steps: 8
Show Steps
Step 1: Understand that an equilateral triangle has all three sides equal.
Step 2: Know that the perimeter of a triangle is the total length around it, which is the sum of all its sides.
Step 3: Since all sides are equal in an equilateral triangle, you can express the perimeter as 3 times the length of one side.
Step 4: Set up the equation: Perimeter = 3 × (length of one side).
Step 5: Substitute the given perimeter (36 cm) into the equation: 36 = 3 × (length of one side).
Step 6: To find the length of one side, divide the perimeter by 3: length of one side = 36 / 3.
Step 7: Calculate the division: 36 / 3 = 12 cm.
Step 8: Conclude that each side of the equilateral triangle is 12 cm long.
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