Question

One of the diagonals of a rhombus is 11.6m . If area of the rhombus is 49.3m2, find the length of the other diagonal. ​

Answer 1

Answer :-

• The length of other diagonal of rhombus is 8.5m.

Step-by-step explanation :

To Find :-

• The length of other diagonal of rhombus

Solution :-

Given that,

• One of the diagonal of rhombus = 11.6m
• Area of rhombus = 49.3m²

As we know that,

Area of rhombus = 1/2 × d1 × d2,

=> 1/2 × d1 × d2 = 49.3

=> 1/2 × d1 × 11.6 = 49.3

Dividing 11.6 and 2 with 2

=> 1 × d1 × 5.8 = 49.3

=> d1 × 5.8 = 49.3

=> d1 = 49.3 ÷ 5.8

=> d1 = 8.5

Therefore, The length of other diagonal of rhombus is 8.5m.

Know more :-

Perimeter of rhombus :-

• 4 × side

Area of rhombus :-

We can find out the area of rhombus is three ways,

By using diagonals

• 1/2 × d₁ × d₂

By using base and height

• base × height

By using trinogeometry

• b² × sin(a)

Answer 2

Given :-

• Shape = Rhombus
• One Diagonal of Rhombus = 11.6m
• Area of the Rhombus = 49.3m²

To Find :-

• The length of the other diagonal.

Solution :-

➞ Area = ½ × Products of Diagonal

➞ 49.3 = ½ × 11.6 × Diagonal

➞ 49.3 × 2 = 11.6 × Diagonal

➞ 98.6 = 11.6 × Diagonal

➞ 98.6 ÷ 11.6 = Diagonal

➞ 8.5 = Diagonal

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Verification :-

➞ Area = ½ × Products of Diagonal

➞ 49.3 = ½ × 11.6 × 8.5

➞ 49.3 = ½ × 98.6

➞ 49.3 = 49.3

Hence Verified

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Therefore, Second Diagonal of the Rhombus is 8.5m

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