Question

Find the missing side of the triangle.Round your answers to the nearest tenth if necessary.

Answer 1

x = 8mi

Explanation:

Use Pythagorean theorem! It states that you can find any side of the triangle using the equation
`a^(2)` +
`b^(2)` =
`c^(2)` . The sides a and b are the sides that are shortest, and c is the longest/slanted side (hypotenuse). So plug in what they give you to get
`a^(2)` +
`6^(2)` =
`10^(2)` ( a and b can be used for either number that is not the hypotenuse). A little bit of basic algebra will lead you to get x=8 mi.

algebraic steps:

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

`a^(2)` +
`6^(2)` =
`10^(2)`

`a^(2)` + 36 = 100

`a^(2)` = 64

a = 8mi