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Allison A · Answer 1 · 2021-01-23T15:10:16+0000

Answer:

Explanation:

Because the leftmost triangle is a 45-45-90 isosceles right triangle,
$a = b =(7\sqrt2)/(\sqrt2) = 7\\$

The rightmost triangle is a 30-60-90 triangle, and the side lengths are in the proportion
$1:\sqrt3:2$ from shortest to longest. Therefore,
$c = 7\cdot(\sqrt3)/(1) = 7√(3) \implies \boxed{7}$

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