Answer:
25
Step-by-step explanation:
According to Pythagoras theorem, we have the next:
For a right triangle with legs a and b and hypotenuse x,
[tex]x^{2}=a^{2}+b^{2}[/tex]
In our case, we have the next data:
a = 7 ;
b =24 ;
x = ?
The second picture, show the triangle to solve, that is:
[tex]x^{2}=a^{2}+b^{2}[/tex]
[tex]x^{2}=7^{2}+24^{2}[/tex]
[tex]x^{2}= 49 + 576[/tex]
[tex]x^{2}= 625 [/tex], solve x
[tex]x = \sqrt{625}[/tex]
[tex]x = 25 [/tex]
