Question

length of a side of a rhombus is 8 metre and one of its diagonal is 14 metre the length of other diagonal is​

Answer 1

Answer:

2√15 m.

Step-by-step explanation:

2√15 m.

Answer 2

∴ The length of other diagonal is $2\sqrt{15} m$

Step-by-step explanation:

Given;

Length of a side of a Rhombus is $8m$ and one of its diagonal is $14m$

In a Rhombus the diagonals are perpendicular to and bisect each other.

From figure;

  $\bigtriangleup AOB$ is given,

$AB^{2} =AO^{2} +OB^{2}$   (∵ $\angle AOB=90degree$ )

⇒$8^{2} =AO^{2} +7^{2}$

⇒$AO=\sqrt{8^{2}-7^{2} }$

∴$AO=\sqrt{15}$

∴$AC=2AO=2\sqrt{15}$

So the length of other diagonal is $2\sqrt{15} m$