Question

Can you proof the area of rhombus i.e d1×d2/2​

Answer 1

Step-by-step explanation:

Derivation for Rhombus Area Formula

Consider the following rhombus:

Area of a Rhombus Derivation

Let O be the point of intersection of two diagonals.

The area of the rhombus will be:

A = 4 × area of ∆ AOB

= 4 × (½) × AO × OB sq. units

= 4 × (½) × (½) d1 × (½) d2 sq. units

= 4 × (1/8) d1 × d2 square units

= ½ × d1 × d2

Therefore, Area of a Rhombus = A = ½ × d1 × d2

Where d1 and d2 are the diagonals of the rhombus.