alyssagodina2005 alyssagodina2005
  • 15-05-2022
  • Mathematics
contestada

Find the missing side lengths and leave the radicals in the simplest form.

Find the missing side lengths and leave the radicals in the simplest form class=

Respuesta :

andytran027
andytran027 andytran027
  • 15-05-2022

Answer:

[tex]y=\frac{9\sqrt{2} }{2}[/tex] and x=9

Step-by-step explanation:

We can see that the triangle is a special triangle or isosceles triangle meaning that two angles/ two sides are the same.

[tex]y=\frac{9\sqrt{2} }{2}[/tex]

To solve for x use Pythagorean Theorem.

a^2 + b^2 = c^2.

[tex]\frac{9\sqrt{2} }{2} +\frac{9\sqrt{2} }{2}=x^2\\\\\frac{81}{2} +\frac{81}{2} =x^2\\\\\frac{162}{2} =x^2\\\\x=\sqrt{\frac{162}{2} } =\sqrt{81} =9\\\\x=9[/tex]

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