Question

6. Find the area of a rhombus whose side is 15 cm and
altitude is 10 cm. If one of its diagonals is 20 cm
long, find the length of the other diagonal. ???​

Answer 1

Answer:

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.

Answer 2

Answer:

150cm² , 15cm

Explanation:

Area of Rhombus = Base × height (altitude)

= 15cm × 10cm

= 150cm²

Area of rhombus is also = 1/2 × diagonal 1 × diagonal 2

1/2 × 20cm × d = 150cm²

10d = 150cm²

d = 150/10

d = 15cm

Another diagonal = 15cm.