Question

What is the formula for calculating the area of rhombus in coordinate geometry?​

Answer 1

Answer:

d2 = length of diagonal 2. b = length of any side. h = height of rhombus.

Answer 2

→Answers :

→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)

Where,

d1 = length of diagonal 1

d2 = length of diagonal 2

b = length of any side

h = height of rhombus

a = measure of any interior angle.

→Example :

Q. Calculate the area of a rhombus having diagonals equal to 6 cm and 8 cm.

→Solution:

Given that,

Diagonal 1, d1 = 6 cm

Diagonal 2, d2 = 8 cm

→Area of a rhombus, A = (d1 × d2) / 2

= (6 × 8) / 2

= 48 / 2

= 24 cm²

→Hence, area of a rhombus is 24 cm²