In the figure, GHIJKLMN is a cube of side a..

Question 1 Report

In the figure, GHIJKLMN is a cube of side a. Find the length of HN.

\sqrt{3 a}

3a2

\sqrt{2}

\sqrt{3}

Answer Details

HJ2 = a2 + a2 = 2a2

HJ = $\sqrt{2 a^{2}} = a \sqrt{2}$

HN2 = a2 + (a $\sqrt{2}$ )2 = a2 + 2a2 = 3a2

HN = $\sqrt{3 a^{2}}$

= a $\sqrt{3}$ cm