All of the sides of the triangle are equal. Calculate the perimeter of the triangle.
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All of the sides of the triangle are equal. Calculate the perimeter of the triangle.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We are given an equilateral triangle with one side length . All sides in an equilateral triangle are the same, so each side is .
Step 2: The formula for the perimeter of an equilateral triangle is given by:
where is the side length of the triangle.
Step 3: Plugging our known side length into the formula, we have:
Therefore, the solution to the problem is 21.
21
Is the triangle in the drawing a right triangle?
An equilateral triangle has all three sides exactly the same length! Other triangles might have different side lengths, but equilateral triangles are special because all sides are equal.
Both methods work! P = 3s is just a shortcut since all three sides are the same. Instead of writing 7 + 7 + 7, we can write 3 × 7 - it's faster!
Look for equal markings on all three sides or check if all side lengths are labeled the same. In this problem, we're told 'all sides are equal' and one side shows 7 units.
Use the same units as the given side length. Since the side is 7 units, the perimeter is 21 units. If it were 7 cm, the perimeter would be 21 cm.
Only for equilateral triangles! For other triangles, you need to add up each individual side length since they're all different. The formula P = 3s only works when all sides are equal.
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