Question

Work out length AC.

Answer 1

Answer:

10.2469, or √105.

Step-by-step explanation:

To find the length of AC, we have to use the pythagorean theorem. The formula for this is A^2 + B^2 = C^2.

C represents the hypotenuse, while A and B  represent the other two sides.

With this information, the formula looks like:

4^2 + B^2 = 11^2

16 + B^2 = 121

To figure out B^2, we must subtract A from C.

121 - 16 = 105

Finally, to solve for B (or the length of AC, in this case), we must find the square root of 105.

The square root of 105 is √105, or 10.2469.

Answer 2

Answer: $\sqrt{105}$

Step-by-step explanation:

As a result of the pythagorean theorem we can say that a^2+b^2=c^2

In this case, we have bc and ab missing side ac. So the equation looks something like this $4^{2}+ac^{2} =11^2$

dont get confused by the ac in the problem i only wrote it like that because ac is the length representation. So 16+ac^2=121 and with algebra we can solve to ac^2=105 or side ac=$\sqrt{105}$