Question

The side of a rhombus is 5 cm.If the length of one diagonal of the rhombus is 8 cm, then find the length of the other diagonal

Answer 1

6 cm

The diagonals of a rhombus bisect each other oat 90 degree angle,

So, each diagonal is cut in half. (Note:all sides of a rhombus are equal)

Let the length be 2x

Solving for x using pythagoras theorem,

⇒$x=\sqrt{25-16}=\sqrt{9}=3 cm$

Hence length of diagonal is 2x=3*2=6 cm