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Sagot :

Answer:

The answer is 7

Step-by-step explanation:

25 times 25=625

24 time 24=576

625-576=7

And the square root of 49 is 7.

Answer:

The value of x is 7.

Step-by-step explanation:

Solution :

Here, we have given that the two sides of triangle are 24 and 25.

Finding the third side of triangle by pythagoras theorem formula :

[tex]{\longrightarrow{\pmb{\sf{{(BC)}^{2} = {(AB)}^{2} + {(AC)}^{2}}}}}[/tex]

  • [tex]\pink\star[/tex] BC = 25
  • [tex]\pink\star[/tex] AB = 24
  • [tex]\pink\star[/tex] AC = x

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

[tex]{\longrightarrow{\sf{{(BC)}^{2} = {(AB)}^{2} + {(AC)}^{2}}}}[/tex]

[tex]{\longrightarrow{\sf{{(25)}^{2} = {(24)}^{2} + {(x)}^{2}}}}[/tex]

[tex]{\longrightarrow{\sf{{(x)}^{2} = {(25)}^{2} - {(24)}^{2} }}}[/tex]

[tex]{\longrightarrow{\sf{{(x)}^{2} = {(25 \times 25)}- {(24 \times 24)} }}}[/tex]

[tex]{\longrightarrow{\sf{{(x)}^{2} = {(625)}- {(576)} }}}[/tex]

[tex]{\longrightarrow{\sf{{(x)}^{2} = 625 - 576 }}}[/tex]

[tex]{\longrightarrow{\sf{{(x)}^{2} = 625 - 576 }}}[/tex]

[tex]{\longrightarrow{\sf{{(x)}^{2} = 49}}}[/tex]

[tex]{\longrightarrow{\sf{(x)= \sqrt{49} }}}[/tex]

[tex]{\longrightarrow{\sf{(x)= 7}}}[/tex]

[tex]{\longrightarrow{\underline{\boxed{\sf{\purple{X= 7}}}}}}[/tex]

Hence, the value of x is 7.

[tex]\rule{300}{2.5}[/tex]

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View image AadhPrit
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