Question

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Answer 1

Explanation:

use Pythagoras theorem,

`{a}^(2) + {b}^(2) = {c}^(2)`

`{6}^(2) + {8}^(2) = {c}^(2) \\ 36 + 64 = {c}^(2) \\ c = √(100 ) \\ c = 10`

Answer 2

The length of missing side of triangle is 10 m.

Step-by-step explanation:

Solution :

Here, we have given that the two sides of triangle are 6 m and 8 m.

Finding the third side of triangle by pythagorean theorem formula :

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

• 
  `\pink\star` a = 6 m
• 
  `\pink\star` b = 8 m
• 
  `\pink\star` c = ?

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

`\begin{gathered} \qquad{\longrightarrow{\sf{{(c)}^(2) = {(a)}^(2) + {(b)}^(2)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^(2) = {(6)}^(2) + {(8)}^(2)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^(2) = (6 * 6)+ (8 * 8)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^(2) = (36)+ (64)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^(2) = 36 + 64}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^(2) =100}}}\\\\\qquad{\longrightarrow{\sf{c = √(100)}}}\\\\\qquad{\longrightarrow{\sf{c = 10 \: m}}}\\\\\qquad\star{\underline{\boxed{\sf{\red{c = 10 \: m}}}}}\end{gathered}`

Hence, the length of missing side of triangle is 10 m.

`\rule{300}{2.5}`