Question

Please help don’t answer if you don’t know:/ PLEASE HELP

Answer 1

Answer(s):

`5√(2)` and
`7.07`

Explanation:

substitute a=5 and b= 5 into Pythagorean Theorem:

`a^2+b^2=c^2\\(5)^(2)+ (5)^(2) = c^2`

Simplify:

`25+25=c^(2)`

`50=c^(2)`

square root of c^2 and 50

`√(50) =√(c^2) \\\\√(50) =c`

Use prime factorization to reduce
`√(50)` to
`5√(2)`

So here are the answers:

Radical form
`5√(2)`

Rounded to nearest hundredth:
`7.07`

Hope this answer helps :)

Answer 2

A See work below

B 7.07

C
`√(50)`

Explanation:

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

`5^(2)` +
`5^(2)` =
`c^(2)`

25 + 25 =
`c^(2)`

50 =
`c^(2)`

`√(50)` =
`\sqrt{c^(2) }`

`√(50)` = c This is the exact answer.
`√(50)` is an irrational number. This means that it never terminates or repeats in the decimal form.

`√(50)` ≈ 7.07 Rounded