Respuesta :

Answer:

The missing side length is 5.7

Step-by-step explanation:

Using the pythagoream theorem you can find the missing side length of a right triangle.

The formula is [tex]a^{2} + b^{2} = c^{2}[/tex] where a and b are the lengths of the triangle legs and c is the hypotenuse.

So yours would be:

[tex]7^{2} + x^{2} = 9^{2}[/tex]

Square the numbers:

[tex]49 + b^{2} = 81[/tex]

Isolate b:

[tex]b^{2} = 32[/tex]

Square root both sides:

[tex]b=\sqrt{32}[/tex]

Simplify:

[tex]\sqrt{32} = 5.7[/tex]

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