Answer: [tex]2\sqrt{5}[/tex]
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Explanation:
Both legs are the same length, as indicated by the tickmark.
- a = [tex]\sqrt{10}[/tex]
- b = [tex]\sqrt{10}[/tex]
- c = x
Use the pythagorean theorem to solve for x
[tex]a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\[/tex]
