Question

Help plzzzzzzzzzzzzzzzzzzzzz

Answer 1

c =
`{\boxed{\boldsymbol{29}}}` km

Step-by-step Step-by-step explanation:

Here's the required formula to find the missing side of triangle by pythagoras theorem :

`{\longrightarrow{\pmb{\sf{{(a)}^(2) + {(b)}^(2) = {(c)}^(2)}}}}`

• 
  `\purple\star` a = 20 km
• 
  `\purple\star` b = 21 km
• 
  `\purple\star` c = ?

Substituting all the given values in the formula to find the third side of triangle :

`\begin{gathered} \quad{\longrightarrow{\sf{{(a)}^(2) + {(b)}^(2) = {(c)}^(2)}}} \\ \\ \quad{\longrightarrow{\sf{{(20)}^(2) + {(21)}^(2) = {(c)}^(2)}}} \\ \\ \quad{\longrightarrow{\sf{(20 * 20) + (21 * 21) = {(c)}^(2)}}} \\ \\ \quad{\longrightarrow{\sf{(400) + (441) = {(c)}^(2)}}} \\ \\ \quad{\longrightarrow{\sf{400 + 441 = {(c)}^(2)}}} \\ \\ \quad{\longrightarrow{\sf{841= {(c)}^(2)}}} \\ \\ \quad{\longrightarrow{\sf{c = √(841)}}} \\ \\ \quad{\longrightarrow{\sf{\underline{\underline{\purple{c = 29 \: km}}}}}}\end{gathered}`

Hence, the length of missing side of triangle is 29 km.

`\rule{300}{2.5}`