Question

The area of rhombus is 120cm and the diagonals is 8cm .find the other diagonal

Answer 1

Answer:

other diagonal is 30 ......is the ans of ur question

Answer 2

Given :

• Area of Rhombus - 120 cm²

• Diagonal - 8 cm ( d1 )

To Find :

• Other Diagonal - ?

Formula To Find :

Area Of Rhombus = 1 / 2 × d1 × d2

where ,

• d1 and d2 are diagonals of Rhombus

Solution :

The d2 is unknown ,

⟶ Area of Rhombus = 120

⟶ 1 / 2 × d1 × d2 = 120

⟶ 1 / 2 × 8 × d2 = 120

⟶ 4 × d2 = 120

⟶ d2 = 120 / 4

⟶ d2 = 30

∴ The Other Diagonal - 30 cm

Let's Verify :

⟶ 1 / 2 × d1 × d2 = 120

⟶ 1 / 2 × 8 × 30 = 120

⟶ 1 / 2 × 240 = 120

⟶ 120 = 120

LHS = RHS

Thus Solved !!

KNOW MORE :

Formula To Find Area :

• Circle = πr²

r = radius of the circle

• Triangle = ½ × b × h

b = base , h = height

• Square = a²

a = length of side

• Rectangle = l × b

l = length , w = width

• Parallelogram = b × h

b = base , h = height

• Trapezium = 1 / 2 × ( a + b ) × h

a and b = parallel sides , h = height