Question

Derivation for Rhombus Area Formul​

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

d2 = length of diagonal 2. b = length of any side. h = height of rhombus. a = measure of any interior angle.

...

Area of Rhombus Formula.

Formulas to Calculate Area of Rhombus

Using Diagonals A = ½ × d1 × d2

Using Base and Height A = b × h

Using Trigonometry A = b2 × Sin(a)

Hope it helps you

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