Question

HELP ITS URGENt !!!!!

Answer 1

Exact Value:
`√(28)`

Approximate Value: 5.29

Explanation:

[] The Pythagorean theorem is
`a^(2) +b^(2) =c^(2)`

-> a and b are the legs of the triangle

-> c is the hypotenuse

[] We can plug in our known values, 6 and 8, then solve for UW.

-> Let 6 be a, UW be b, and 8 be c

[Given]

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

[Plug-in]

`6^(2) +b^(2) =8^(2)`

[Square 6 and 8]

`36 +b^(2) =64`

[Subtract 36 from both sides]

`b^(2) =28`

[Take the square root of both sides]

b =
`√(28)`

-> The square and square root "cancel each other out"

[]
`√(28)` is the exact value. The approximate value is 5.29 because the square root of 28 is equal to around 5.29

Have a nice day! Please keep in mind they may be looking for something different with regards to the exact/approximate values, but hopefully you can figure it out with the answer I have given.

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather