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Pythagorean Theorem Worksheet
Find the length of the diagonal of a square whose side length is 10 inches
?


Sagot :

Answer:

The length of the diagonal is [tex]\LARGE\text{\underline{\boldsymbol{10\sqrt{2}}}}[/tex] inches.

Step-by-step explanation:

All sides of the square are equal. It means that the other side is 10 inches.

Given:   [tex]a=10[/tex],   [tex]b=10[/tex]

Find:   [tex]c=?[/tex]

Formula:   [tex]c^2=a^2+b^2[/tex]

Solution:

[tex]c^2=a^2+b^2\\c^2=(10)^2+(10)^2\\c^2=100+100\\c^2=200\\\sqrt{c^2}=\sqrt{200}\\c=\sqrt{(100)(2)}\\c=\sqrt{(10)^2(2)}\\\boxed{\boldsymbol{c=10\sqrt{2}}}[/tex]

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