If the area of the rhombus is 60sq.cm and one of the diagonals is 8cm, find the length of the
other diagonal.
Answers
Answer:
Another diagonal = 15 cm
Step-by-step explanation:
Given :
- Area of rhombus = 60 cm
- One of the diagonal = 8 cm
To find area of rhombus :
Area = 1/2 × d1 × d2
So,here
- d1 = 8 cm
- d2 = ?
- Area = 60 cm
Let, d2 be a,
⟶ 1/2 × d1 × d2 = 60
⟶ 1/2 × 8 × a = 60
⟶ 4 × a = 60
⟶ 4a = 60
⟶ a = 60/4
⟶ a = 15
So, the another Diagonal = 15 ( d2 = 15 )
Let's verify ::
= 1/2 × d1 × d2 = 60
= 1/2 × 8 × 15 = 60
= 1/2 × 120 = 60
= 60 = 60
∴ LHS = RHS
Thus Solved !!
Answer:
The length of other diagonal is 15 cm.
Step-by-step-explanation:
We have given that,
Area of rhombus = 60 sq.cm
Length of one diagonal ( d₁ ) = 8 cm
We have to find the length of other diagonal ( d₂ ).
We know that,
Area of rhombus = ( Product of diagonals ) / 2
⇒ 60 = ( d₁ * d₂ ) / 2
⇒ 60 * 2 = d₁ * d₂
⇒ d₂ = 60 * 2 / d₁
⇒ d₂ = 60 * 2 / 8
⇒ d₂ = 60 / 4
⇒ d₂ = 15 cm
∴ The length of other diagonal is 15 cm.
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Additional Information:
1. Rhombus:
A quadrilateral with all its four sides of equal measures is called as rhombus.
2. Properties of Rhombus:
1. All sides are congruent.
2. Opposite angles are congruent.
3. Diagonals bisect each other.
4. Diagonals are perpendicular bisectors of each other.