Question

Pls help me with my homework

Answer 1

b = 8

Explanation:

Using Pythagorean Theorem, a
`a^(2) +b^(2) =c^(2)`, we just plug in what we know.

We know that the hypotenuse, c, is 10 km. We also know that one of the other side lengths is 6 km, we can plug that into either a or b.

Now, our equation will be:
`6^(2) +b^(2) =10^(2)`.

You could also use the equation:
`b^(2) =10^(2) -6^(2)`.

Next, we'll just solve the equation.

`10^(2) =100`,
`6^(2) = 36`

`b^(2) =100 - 36`

`b^(2) = 64`

`\sqrt{b^(2) } = √(64)`

b = 8

Good luck :D