What is the value of x?
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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]