Answer and Step-by-step explanation:
Use the Pythagorean theorem to solve.
Plug in the value 5 for a, and 6 for b. c will stay as c.
[tex]a^{2}+ b^{2}= c^{2} \\\\\\5^{2}+6^{2}= c^{2} \\\\\\25 + 36= c^{2} \\\\\\61 = c^{2} \\\\\\\sqrt{61} = c[/tex]
5 squared is equal to 25, and 6 squared is equal to 36.We add those together to get 61.
We then square root both sides of the equation to get c by itself, resulting in the square root of 61.
The square root of 61 becomes 7.810249676
c = 7.8102
To check, you would multiply that number by itself, then you will get 61. With the rounded version, you would get close to 61.
If you got 7.08 as an answer, then multiplying it by itself results in 50.1264, which isn't close to 61.
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