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Area of a Triangular Region - Equilateral Triangle
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Multiple Choice
An equilateral triangle has an area of $9\sqrt{3}$. What is the length of its side?
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6
9
4
3
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If an equilateral triangle has a side length of $10$, what is its area?
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$25\sqrt{3}$
$50\sqrt{3}$
$\frac{25\sqrt{3}}{2}$
$\frac{50\sqrt{3}}{4}$
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Which of the following is a step in finding the altitude of an equilateral triangle?
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Divide the base into $a$ and $a$
Apply the Pythagorean theorem
Use the formula $a^2 + b^2 = c^2$ directly on the triangle
Measure the height directly
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Which expression represents the altitude $AD$ in an equilateral triangle with side length $a$?
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$\frac{a}{2}$
$\frac{\sqrt{3}a}{2}$
$a$
$\sqrt{3}a$
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What is the formula for the area of an equilateral triangle with side length $a$?
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$\frac{1}{2}a^2$
$\frac{\sqrt{3}}{4}a^2$
$a^2$
$2a^2$
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