A side of a rhombus is 2cm in length. An angle of the rhombus is 60^o. What is the length of the diagonal facing this angle?

HeisNachos

1 year ago

"An angle of the rhombus is 60°"

meaning that when you draw the diagonals, they should divide 60° into two. i.e 30°

sin30° = x/2
x = 2sin30°
x = 1.

Hence, the diameter is 1 + 1 = 2

Option A is the right answer.

HÃRËM

2 months ago

The diagonal facing the 60°
Since it is a rhombus, the other angle would be 120°, so the diagonal will face the 60° and bisect the 120°
This diagonal is the short one and will create two equilateral triangles and in a rhombus all sides are equal, since we are given 2cm as the side of the rhombus the shorter diagonal facing the 60° is 2cm while the longer diagonal facing the 120° is 2√3cm

Abdulmalik07

2 years ago

There is a mistake
it should be 2*√3