Hello..!
We use the Pythagorean formula:
![\sf \red{c {}^(2) } = \blue{ a {}^(2) + b {}^(2) }](https://img.qammunity.org/2023/formulas/mathematics/college/fgxx1oloi9ppad3mousztlv5rj11zu8wrn.png)
We know that once we have the formula we extract the Raised data:
![\sf \red{c {}^(2)} = \blue{(20cm) {}^(2) + (18cm) {}^(2) }](https://img.qammunity.org/2023/formulas/mathematics/college/m8cwd07q2tkxxcuyhhawhhw9sysyfr41hs.png)
Having the Raised data, we will add as a power and we know that:
![\sf \red{20 {}^(2) } = \orange{400}](https://img.qammunity.org/2023/formulas/mathematics/college/mwiide69njyw2w93hktjuxyi2usbknw0qg.png)
![\sf \red{18 {}^(2)} = \orange{324}](https://img.qammunity.org/2023/formulas/mathematics/college/124gajh6pdf1f7ogapaukxt0w5ykriu40g.png)
So, to solve a power we must multiply squared and then get our result, in this case I added and then increased it by 0
![\sf \red{c {}^(2) }= \blue{400cm {}^(2) + 324cm {}^(2) }](https://img.qammunity.org/2023/formulas/mathematics/college/fmp4tvebshzmj6hc6jh8z44ajngokxkggx.png)
We have the results, once that is done we will add.
![\sf \red{400 + 324 }= \blue{724}](https://img.qammunity.org/2023/formulas/mathematics/college/i36v1vhe7e1t9vc4l50egf8ps6rpoofttd.png)
So, we have the result we just have to put it like this:
![\sf\red{c {}^(2) } = \blue{724cm {}^(2) }](https://img.qammunity.org/2023/formulas/mathematics/college/xj7nerurdbkquur90bomfdzlmsetn6pmec.png)
Once we have our result, we must take the square root, then the (square "²") automatically disappears.
![\sf \red{c =} \green{ √(724cm) }](https://img.qammunity.org/2023/formulas/mathematics/college/8p2f7a03mdqkrtc89i80sxoaukg56bkx9q.png)
![\sf \red{c }= \orange{ 26.90cm}](https://img.qammunity.org/2023/formulas/mathematics/college/i6vsl9w88hbxqha06scdst9nad6lc4ywgm.png)
So, our result of our problem is:
![\orange{ \sf \longmapsto} \sf \blue{ \: 26.90cm}](https://img.qammunity.org/2023/formulas/mathematics/college/3cpiyqh46fgrpiicae7q4spwmhepuu4cfa.png)