Answer:
13.75
Explanation:
Use the Pythagorean Theorem to find the missing side.
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where a and b are sides and c is the hypotenuse (longest side)
Substitute:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]10^{2} + x^{2} = 17^{2}[/tex]
Solve for x:
[tex]10^{2} + x^{2} = 17^{2}[/tex]
[tex]100 + x^{2} = 289[/tex]
Subtract 100 on both sides:
[tex]100 + x^{2} = 289[/tex]
- 100 -100
[tex]x^{2} = 189[/tex]
Find the square root of x^2:
[tex]x^{2} = 189[/tex]
[tex]\sqrt{x^{2}} =\sqrt{189}[/tex]
x = 13.75
