We have your data Raised:
![\bold{w = 7m}](https://img.qammunity.org/2023/formulas/mathematics/college/d1e5tp67y8w7eqxs1ymebtnndk6bc3u2ck.png)
![\bold{b = 10m}](https://img.qammunity.org/2023/formulas/mathematics/college/aw2sz273yzkl57dabyzm4yrvdhkuttgpk9.png)
Now, well, to calculate the leg of a right triangle we must take its formula, which is the following:
![\bold{c {}^(2) = a {}^(2) + b {}^(2) }](https://img.qammunity.org/2023/formulas/mathematics/college/td3qk04ohuh8okb51yv1anbfb1vgvm70xc.png)
Once taking into account the formula we take the data that would be as follows:
![\bold{c {}^(2) = 7 {}^(2) + 10 {}^(2) }](https://img.qammunity.org/2023/formulas/mathematics/college/x4ze8y87m5vnov791caurdhivlpbxaq6or.png)
Now, what you have to do is the following, you can multiply it or you can also square it, in this case, I will multiply it.
![\bold{c {}^(2) = 49 + 100}](https://img.qammunity.org/2023/formulas/mathematics/college/oag31d6is6dc2d5bjrt68dr02jfscsvcg4.png)
Since, multiplying 7 twice gives 49 and if multiplying 10 twice gives 100, then, now we must add.
![\bold{c {}^(2) = 149}](https://img.qammunity.org/2023/formulas/mathematics/college/bxd8sc8h8ssvd7auwatnjwxs5blnsbh7o6.png)
Adding
gives the result of
.
![\bold{c = √( 149)}](https://img.qammunity.org/2023/formulas/mathematics/college/wlks3pg9ecd80cgs9d97xbjfy7xw9srnha.png)
The square root must be taken since as we can see that 149 can be taken by its half
Half of
, so therefore our result of the right triangle is
.
[Graphic is attached]