Question

Help pleaase i dont understann

Answer 1

The length of x is 12.

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

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

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

• 
  `\purple\star` a = ?
• 
  `\purple\star` b = 16
• 
  `\purple\star` c = 20

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{{(x)}^(2) + {(16)}^(2) = {(20)}^(2)}}}\\\\\quad{\longrightarrow{\sf{{(x)}^(2) + (16 * 16) = (20 * 20)}}}\\\\\qquad{\longrightarrow{\sf{{(x)}^(2) + (256) = (400)}}}\\\\\qquad{\longrightarrow{\sf{{(x)}^(2) + 256 = 400}}}\\\\\qquad{\longrightarrow{\sf{{(x)}^(2) = 400 - 256}}}\\\\\qquad{\longrightarrow{\sf{{(x)}^(2) = 144}}}\\\\\quad{\longrightarrow{\sf{x = √(144)}}}\\\\\quad{\longrightarrow{\sf{\underline{\underline{\purple{x = 12}}}}}} \end{gathered}`

Hence, the length of x is 12.

`\rule{300}{2.5}`