Question

Can someone help please

Answer 1

a=4

Explanation:

Hi there!

We are looking for the value of
`a`. We know that
`b=11` and
`c=√(137)`.

We'll start with the Pythagorean theorem:

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

Now, we'll subtract
`b^(2)` from both sides so that
`a^(2)` is by itself.

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

We can now substitute our known values of
`b` and
`c` into the equation. Make sure to put the substituted values in parenthesis.

`a^(2) = (√(137)) ^(2) -(11)^2`

Let's apply the exponents to the values we substituted in:

`a^2=137-121`

`a^2=16`

Now, to eliminate the exponent on
`a`, we take the square root of both sides:

`a=√(16)`

`a=4`

Let me know if you have any questions!