How far is the point \(P(-20,\,21)\) from the origin?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 29 units
The distance of a point \((x,\,y)\) from the origin \(O(0,\,0)\) is \(\sqrt{x^2+y^2}\). It is the hypotenuse of a right triangle whose other two sides are \(|x|\) and \(|y|\).
\(x^2=(-20)^2=400\)
\(y^2=21^2=441\)
\(x^2+y^2=400+441=841\)
\(OP=\sqrt{841}=29\) units
