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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Express the area of an equilateral triangle as a function of the length of a side x.
Solution:
We know that all angles of an equilateral triangle are 60°
In an equilateral triangle, all sides are equal.
Given, length of side = x
Let h be the height of the triangle
Area of an equilateral triangle = (1/2) × base × height
Now, find h using trigonometric ratio,
sin 60° = h/x
h = x sin 60°
h = x (√3/2)
Now, area = (1/2) (x) (√3x/2)
Area = (√3/4)x2
Therefore, the area of the triangle is (√3/4)x2 units.
Express the area of an equilateral triangle as a function of the length of a side x.
Summary:
The area of an equilateral triangle as a function of the length of a side x is (√3/4)x2 units.
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