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Area of a Triangular Region - Given Three Sides
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Multiple Choice
If a triangle has sides of lengths 7, 10, and 5, what is the semi-perimeter $s$?
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21
22
11
10
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What is the formula used to calculate the area of a triangle when the lengths of all three sides are known?
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$\frac{1}{2} \times base \times height$
$\sqrt{s(s - a)(s - b)(s - c)}$
$\frac{1}{2} \times (a + b + c)$
$a^2 + b^2 = c^2$
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In Heron's formula, what does the variable 's' represent?
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The square root of the area
The perpendicular height of the triangle
The semi-perimeter of the triangle
The sum of the lengths of the three sides
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Which of the following represents Heron's formula?
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$s(s - a)(s - b)(s - c)$
$\frac{1}{2} \times base \times height$
$\sqrt{s(s - a)(s - b)(s - c)}$
$a^2 + b^2 = c^2$
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Which expression correctly represents the semi-perimeter of a triangle with sides $a$, $b$, and $c$?
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$a + b + c$
$\frac{a + b + c}{3}$
$\frac{a + b + c}{2}$
$a^2 + b^2 + c^2$
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