A student first marks the point corresponding to on the number line

MATHEMATICS · Single correct · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

A student first marks the point corresponding to

\sqrt{2}

on the number line. Keeping this point fixed, she draws a new perpendicular of

3

units to obtain a second hypotenuse from the origin. Which number is represented by this new hypotenuse? (a)

\sqrt{7}

(b)

\sqrt{11}

(c)

\sqrt{5}

(d)

\sqrt{13}