Answer:
[tex] \sqrt{74} [/tex]
Step-by-step explanation:
Use the Pythagorean theorem.
[tex] a^2 + b^2 = c^2 [/tex]
We are solving for the hypotenuse, c.
[tex] c^2 = a^2 + b^2 [/tex]
[tex] c^2 = 5^2 + 7^2 [/tex]
[tex] c^2 = 25 + 49 [/tex]
[tex] c^2 = 74 [/tex]
[tex] c = \sqrt{74} [/tex]
Answer: [tex] \sqrt{74} [/tex]
