In an equilateral triangle, if one side measures 12 cm, what is the area of the

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Question: In an equilateral triangle, if one side measures 12 cm, what is the area of the triangle?

Options:

Correct Answer: 36√3 cm²

Solution:

The area of an equilateral triangle is given by the formula: Area = (√3/4) * side² = (√3/4) * 12² = 36√3 cm².

In an equilateral triangle, if one side measures 12 cm, what is the area of the triangle?

In an equilateral triangle, if one side measures 12 cm, what is the area of the triangle?

Step 1: Identify that the triangle is equilateral, meaning all sides are equal.
Step 2: Note the length of one side, which is given as 12 cm.
Step 3: Recall the formula for the area of an equilateral triangle: Area = (√3/4) * side².
Step 4: Substitute the length of the side into the formula: Area = (√3/4) * 12².
Step 5: Calculate 12², which is 144.
Step 6: Now substitute 144 into the formula: Area = (√3/4) * 144.
Step 7: Divide 144 by 4, which gives 36.
Step 8: Multiply 36 by √3 to find the area: Area = 36√3 cm².

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