Answer:
c ≈ 12.04
Step-by-step explanation:
Pythagorean theorem:
[tex]a^{2} +b^{2} = c^{2}[/tex]
Substitute:
[tex]a^{2} +b^{2} = c^{2}[/tex]
[tex]9^{2} +8^{2} = c^{2}[/tex]
Solve:
[tex]9^{2} +8^{2} = c^{2}[/tex]
[tex]81 + 64 = c^{2}[/tex]
Add:
[tex]81 + 64 = c^{2}[/tex]
[tex]145 = c^{2}[/tex]
Find the square root:
[tex]145 = c^{2}[/tex]
[tex]\sqrt{145}= \sqrt{c^{2}}[/tex]
[tex]\sqrt{145}= c[/tex]
Simplify:
[tex]\sqrt{145}= c[/tex]
12.04 ≈ c
