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2 years ago

a rhombus has an area of 60 square centimeters. if the length of one diagonal is 12 cm, find the length of the other

Mathematics

1 answer:

AlekseyPX2 years ago

3 0

Answer:

10 cm

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = $\frac{1}{2}$ × d₁ × d₂ ( d₁ and d₂ are the diagonals )

Here A = 60, d₁ = 12, thus

60 = 0.5 × 12 × d₂ = 6 d₂ ( divide both sides by 6 )

d₂ = 10

The other diagonal is 10 cm

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- Substitute [Equation 2] into [Equation 1]

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