Question

Find the distance of point $P(3, 4)$ from the origin.

Hint:

Distance from origin formula: \[ \sqrt{x^2 + y^2} \] Recognize Pythagorean triples like $(3,4,5)$ to solve quickly.

Answer 1

Concept: Distance of a point $(x, y)$ from the origin $(0,0)$ is given by: \[ \text{Distance} = \sqrt{x^2 + y^2} \] Step 1: Substitute coordinates \[ x = 3, \quad y = 4 \] \[ \text{Distance} = \sqrt{3^2 + 4^2} \] Step 2: Simplify \[ = \sqrt{9 + 16} = \sqrt{25} \] \[ = 5 \] Final Answer: \[ \boxed{5} \]