Respuesta :

Answer:

x = 25

Step-by-step explanation:

Use Pythagoras' Theorem [tex]a^s+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse of a right triangle

[tex]\implies 7^2+24^2=x^2[/tex]

[tex]\implies 49+576=x^2[/tex]

[tex]\implies 625=x^2[/tex]

[tex]\implies x=\sqrt{625}[/tex]

[tex]\implies x=\pm25[/tex]

[tex]\implies x = 25[/tex] only, as distance is positive

Use Pythagorean theorem

[tex]\\ \rm\longmapsto x^2=24^2+7^2[/tex]

[tex]\\ \rm\longmapsto x^2=576+49[/tex]

[tex]\\ \rm\longmapsto x^2=625[/tex]

[tex]\\ \rm\longmapsto x=25[/tex]