Question

Find the area of a rhombus whose side is 15cm and altitude is 10 cm. if one of its diagonal is 20 cm long, find the length of the Other diagonal.

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Answer 1

Given:
Side of rhombus = 15 cm
Diagonal 1 = 20 cm
Area of rhombus = base * height [as rhombus is also a parallelogram]
                            = 15 * 10 
                            = 150 cm²
Area of rhombus = 150 cm²
1/2 * d₁ * d₂ = 150
1/2 * 20 * d₂ = 150
         10 * d₂ = 150
                d₂ = 150 / 10
                d₂ = 15 cm
∴ the other diagonal is 15 cm.

Answer 2

Answer:

Step-by-step explanation:

Given:

Side of rhombus = 15 cm

Diagonal 1 = 20 cm

Area of rhombus = base * height [as rhombus is also a parallelogram]

                            = 15 * 10 

                            = 150 cm²

Area of rhombus = 150 cm²

1/2 * d₁ * d₂ = 150

1/2 * 20 * d₂ = 150

         10 * d₂ = 150

                d₂ = 150 / 10

                d₂ = 15 cm

∴ the other diagonal is 15 cm.

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