3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 8 10

Mathematics

1 answer:

Savatey [412]3 years ago

8 0

Answer:

Step-by-step ex planation :

third side = x

8 ² + x ² = 10 ²

64 +x ² = 100

x ² = 36

√x ² = √ 36

x= 6

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Sav [38]

Hello,

$\sqrt{x} - \sqrt{y} = (\sqrt[4]{x}+ \sqrt[4]{y} )( \sqrt[4]{x} - \sqrt[4]{y} )=72\\\\
\sqrt[4]{x}- \sqrt[4]{y}=6\\\\
(\sqrt[4]{x}+ \sqrt[4]{y})*6=72\\\\
\sqrt[4]{x}+ \sqrt[4]{y}=12 \\ 
\sqrt[4]{x}- \sqrt[4]{y}=6 \\\\
2 \sqrt[4]{x}=18==\textgreater\sqrt[4]{x}=9==\textgreater\ x=6561\\
2 \sqrt[4]{y}=6==\textgreater\sqrt[4]{y}=3==\textgreater\ y=81\\


$
Proof:
$\sqrt[4]{6561} - \sqrt[4]{81} =9-3=6\\\\
 \sqrt{6561} - \sqrt{81} =81-9=72$

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Step-by-step explanation:

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