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An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.

Give your answer rounded to 1 DP.

2 Answers

3 votes

The answer is 35.1 cm².

Hope this helps; have a great day!

User Vladu Ionut
by
7.9k points
2 votes

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

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Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

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User Ddofborg
by
9.1k points

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