Respuesta :

Answer:

11.31

Step-by-step explanation:

Use the pythagorean theorem: c^2=a^2+b^2

18^2=14^2+b^2

324=196+b^2

128=b^2

b=11.31

[tex][Hello,BrainlyUser][/tex]

Answer:

[tex]\sqrt{128}[/tex]

Step-by-step explanation:

Right, let write down the Pythagorean Theorem equation or standard form of it. before we plug in the numbers.

[tex]a^2+b^2=c^2[/tex]

Right, so that is the equation of Pythagorean Theorem. So let plug in the numbers of b and c.

[tex]a^2+14^2+18^2[/tex]

So we have our values of b and c. Now, how do we find the missing number?

Well, let simplify thing further by squaring the numbers we have already.

[tex]a^2+196+324[/tex]

We will now subtract 196 from both side which gives us:

[tex]a^2=128[/tex]

Now we can square root the answer.

[tex]\sqrt{a^2} =\sqrt{128}[/tex]

Now, we are left with this:

[tex]a=\sqrt{128}[/tex]

So the final answer is [tex]\sqrt{128}[/tex] or the decimal value which is  [11.31370849]

Round: 11.31

[CloudBreeze]