Answer:
7.1
Step-by-step explanation:
You can use the Pythagorean Theorem to solve this:
[tex]a^{2} + b^{2} = c^{2}[/tex]
All you need to do is plug in the numbers (in this case, they've already given you the hypotenuse, which is c in the formula, are you're solving for the leg).
[tex]7^{2} + b^{2} = 10^{2}[/tex]
49 + [tex]b^{2}[/tex] = 100
Subtract 49 from both sides:
49 + [tex]b^{2}[/tex] = 100
-49 -49
___________
[tex]b^{2}[/tex] = 51
Square root both sides:
[tex]\sqrt{b^2} = \sqrt{51}[/tex]
b = 7.14
b = 7.1
