Respuesta :

wegnerkolmp2741o

Answer:

b = sqrt(39)

Step-by-step explanation:

Since this is a  right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2

5^2 + b^2 = 8^2

25+b^2 =64

b^2 =64-25

b^2 =39

Take the square root of each side

b = sqrt(39)

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Answer:

[tex]\sqrt{39}[/tex]

Step-by-step explanation:

Step 1: Find the unknown wide using Pythagorean Theorem

[tex]a^{2}+ b^{2} = c^{2}[/tex]

[tex]a^{2}+ 5^{2} = 8^{2}[/tex]

[tex]a^{2}+ 25 = 64[/tex]

[tex]a^{2}= 64-25[/tex]

[tex]a^{2=39[/tex]

[tex]\sqrt{a^{2}} = \sqrt{39}[/tex]

[tex]a=\sqrt{39}[/tex]

[tex]\sqrt{39}[/tex] cannot be simplified and more

Therefore the unknown side is [tex]\sqrt{39}[/tex]

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