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Find the area of an equilateral triangle with side 10 cm.?
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Find the area of an equilateral triangle with side 10 cm.?
Calculating the Area of an Equilateral Triangle
To find the area of an equilateral triangle with a side length of 10 cm, we can use the formula for the area of a triangle: Area = (sqrt(3) / 4) * side^2.
Step 1: Calculate the Height of the Equilateral Triangle
To find the height of the equilateral triangle, we can use the Pythagorean theorem. The height (h) can be calculated as h = sqrt(3) / 2 * side.
Plugging in the values, we get:
h = sqrt(3) / 2 * 10
h = 5 * sqrt(3) cm
Step 2: Substitute the Height into the Area Formula
Now that we have the height of the equilateral triangle, we can substitute it into the area formula:
Area = (1/2) * base * height
Area = (1/2) * 10 * 5 * sqrt(3)
Area = 25 * sqrt(3) cm^2
Therefore, the area of an equilateral triangle with a side length of 10 cm is 25 * sqrt(3) cm^2.
To find the area of an equilateral triangle with a side length of 10 cm, we can use the formula for the area of a triangle: Area = (sqrt(3) / 4) * side^2.
Step 1: Calculate the Height of the Equilateral Triangle
To find the height of the equilateral triangle, we can use the Pythagorean theorem. The height (h) can be calculated as h = sqrt(3) / 2 * side.
Plugging in the values, we get:
h = sqrt(3) / 2 * 10
h = 5 * sqrt(3) cm
Step 2: Substitute the Height into the Area Formula
Now that we have the height of the equilateral triangle, we can substitute it into the area formula:
Area = (1/2) * base * height
Area = (1/2) * 10 * 5 * sqrt(3)
Area = 25 * sqrt(3) cm^2
Therefore, the area of an equilateral triangle with a side length of 10 cm is 25 * sqrt(3) cm^2.
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Find the area of an equilateral triangle with side 10 cm.?
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Find the area of an equilateral triangle with side 10 cm.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the area of an equilateral triangle with side 10 cm.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of an equilateral triangle with side 10 cm.?.
Find the area of an equilateral triangle with side 10 cm.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the area of an equilateral triangle with side 10 cm.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of an equilateral triangle with side 10 cm.?.
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