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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