Question

find the area of a rhombus whose side is 5cm and its altitude is 4cm. if one of its diagonal is 8cm long, find the length of other diagonal​

Answer 1

Answer:

Area = 20cm²

Other diagonal = 4cm

Explanation:

Given

• Side of the rhombus = 5 cm
• Altitude of the rhombus = 4 cm
• One diagonal of the rhombus = 8cm

To Find

• Area of the rhombus
• Length of other diagonal

Solution

Area of a rhombus = Side × Altitude

Area = 5cm × 4cm

Area = 20cm²

Area of the rhombus is 20cm²

Area of a rhombus = 1/2 × Product of diagonals

⟹ Area = 1/2 × D₁ × D₂

⟹ 20cm² = 1/2 × 8cm × D₂

⟹ 20cm² = 4cm × D₂

⟹ 20cm²/4cm = D₂

⟹ 5cm = D₂

Second diagonal of the rhombus is 5cm long

Answer 2

Answer:

Area of rhombus = Base × Height =

$\frac{1}{2} \times products \: of \: daignols$

⇒5×4.8=$\frac{1}{2} \times (8 \times x)$

⇒$24 = \frac{1}{2} \times (8 \times \: x)$

⇒$x = 6cm$