25 inches
Explanation
the dog's paw forms a rigth triangle, so we can use Pythagoras theorem
wich
[tex]a^2+b^2=c^2[/tex]
let
a=a
b=26
c=36
replace
[tex]a^2+26^2=36^2[/tex]
Step 2
solve for x
In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal. This property holds true for whole numbers as well.
Hence
subtract square 26 in both sides
[tex]\begin{gathered} a^2+26^2=36^2 \\ a^2+26^2-26^2=36^2-26^2 \\ a^2=36^2-26^2 \\ a^2=620 \end{gathered}[/tex]
Step 3
finally, The squaring property of equality states that when A = B then A2 = B2. We can use the squaring property of equality when solving equations with square roots.
so
[tex]\begin{gathered} a^2=620 \\ \sqrt[]{a^2}=\sqrt[]{620} \\ a=24.89 \\ \text{rounded to the nearest inch} \\ a=25 \end{gathered}[/tex]
I hope this helps you
