Question

Find the length of the third side to the nearest tenth

Answer 1

7.1

Explanation:

You can use the Pythagorean Theorem to solve this:

`a^(2) + b^(2) = c^(2)`

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).

`7^(2) + b^(2) = 10^(2)`

49 +
`b^(2)` = 100

Subtract 49 from both sides:

49 +
`b^(2)` = 100

-49 -49

___________

`b^(2)` = 51

Square root both sides:

`√(b^2) = √(51)`

b = 7.14

b = 7.1