find the area of a rhombus whose aide is 5cm and whose altitude is 4.8cm .if one of it's diagonals is 8 cm
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Answer:
6 cm
Step-by-step explanation:
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Answer:
- Area of RHOMBUS = 24 cm²
- Length of another diagonal = 6 cm
Step-by-step explanation:
Area of a RHOMBUS can be calculated by 3 methods.
The 3 methods are listed below:
- Using Diagonals ⇒ ¹/₂ × Product of two diagonals
- Using Base and Height ⇒ Length of Rhombus × Height
- Using Trigonometry ⇒ Length² × sin (any interior angle)
Here,
- Length of RHOMBUS is given as 5 cm.
- Height of RHOMBUS is given as 4.8 cm.
Therefore, we will use "Length of Rhombus × Height" this formula
⇒ Area of Rhombus = Length of Rhombus × Height of Rhombus
= 5 cm × 4.8 cm
= 24 cm² ←ANSWER
Length of another diagonal = [2 × Area of Rhombus]÷One Diagonal
∴ Length of other diagonal = [2 × 24] ÷ 8
= 48 ÷ 8
= 6 cm ←ANSWER
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