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Construction of a Triangle with SSS Criterion

What is the a...

Question

What is the area of smallest triangle in above diagram? ( in $c m^{2}$ )

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Solution

$A F = B E = 15$
$\Rightarrow B C = B E - C E$
$B C = 3 c m$
Area of smallest $^{'} △^{'}$ is an $(A B C)$
$\Rightarrow \frac{1}{2} \times 8 \times 3 = 12 c m$

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