isaaclozano1120 isaaclozano1120
  • 13-04-2024
  • Mathematics
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The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.

The triangle below is isosceles Find the length of side x in simplest radical form with a rational denominator class=

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regalmocha17 regalmocha17
  • 13-04-2024

Answer:

x = [tex]\sqrt{8 }[/tex] or [tex]2\sqrt{2}[/tex]

Step-by-step explanation:

given that the triangle is isosceles, meaning that there are two equal sides

we can set up the equation as

[tex]4^2 = a^2 + a^2 \\16 = 2a^2 \\8 = a^2 \\\sqrt{8} = a \\a = 2\sqrt{2}[/tex]

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