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Svetradugi [14.3K]
3 years ago
6

Solve for x using Pythagorean theorem

Physics
1 answer:
Allisa [31]3 years ago
6 0

From the Pythagorean theorem, we have

(2x)^2 + (3x)^2 = (\sqrt{52})^2

Simplifying both sides gives

4x^2 + 9x^2 = 52 \\\\ 13x^2 = 52 \\\\ x^2 = \dfrac{52}{13} = 4 \\\\ x = \pm\sqrt4 = \pm2

But we're talking about lengths, which can't be negative, so <em>x</em> = 2.

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4 0
3 years ago
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