Question

Can anyone please help me out

Answer 1

>> Answer

________

`\:`

a² = c² - b²

a² = 6² - 5²

a² = 36 - 25

a² = 11

a = √11

a ≈ 3.316...

Answer 2

B = 3.31662479

rounded to 3.32

Explanation:

Pythagorean theorem:
`a^(2) + b^(2) = c^(2)`

A & B = the base and height

C = The diagonal line.

A & B can be base or height. ( base = 2 Height = 3. It can be
`2^(2) + 3^(2)` or
`3^(2) + 2^(2)` )

Because when you add it doesn't matter where each number is put.

I like doing b for the base, because there's a b in base, to make it easier for me. But you can do whatever.

A = 5

B = ?

C = 6

`5^(2) + b^(2) + 6^(2)`

From here you will solve to get b.

`5*5 + b^(2) = 6 * 6`

`25 + b^(2) = 36`

25 - 25 +
`b^(2)` = 36 - 25

`b^(2)` = 11

To under the exponent you have to
`\sqrt` it.

`\sqrt{b_(2)}` =
`√(11)`

`5^(2) + 3.32^(2) = 6^(2)`

B = 3.31662479

rounded to 3.32

Check your work :

`5^(2) + 3.32^(2) = 6^(2)`