Question

1 please help guysss

Answer 1

The answer is x = 4sqrt(11).

Use pythagorean theoram:

c^2 = b^2 + a^2
(24)^2 = (20)^2 + a^2
sqrt((24)^2 - (20)^2)) = a
a = 4sqrt(11)

Answer 2

The value of x is 4√11.

Step-by-step explanation:

Solution :

Here, we have given that the two sides of triangle are 24 and 20.

Finding the third side of triangle by pythagorean theorem formula :

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

• 
  `\pink\star` c = 24
• 
  `\pink\star` a = 20
• 
  `\pink\star` b = x

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{{(24)}^(2) = {(20)}^(2) + {(b)}^(2)}}}\\\\\qquad{\longrightarrow{\sf{{(24* 24)} = {(20 * 20)} + {(b)}^(2)}}}\\\\\qquad{\longrightarrow{\sf{{(576)} = {(400)} + {(b)}^(2)}}}\\\\ \qquad{\longrightarrow{\sf{{(b)}^(2) = 576 - 400}}}\\\\ \qquad{\longrightarrow{\sf{{(b)}^(2) = 176}}}\\\\\qquad{\longrightarrow{\sf{b = √(176)}}}\\\\\qquad{\longrightarrow{\sf{b = 4√(11)}}}\\\\\qquad\star{\underline{\boxed{\sf{\red{b = 4√(11)}}}}}\end{gathered}`

Hence, the value of x is 4√11.

`\rule{300}{2.5}`