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zimovet [89]
2 years ago
6

Help plzzzzzzzzzzzzzzzzzzzzz

Mathematics
1 answer:
prohojiy [21]2 years ago
3 0

Answer:

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

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 \times 20) + (21 \times 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 =  \sqrt{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}

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