Question

the area of rhombus is 122cm². if one of its diagnols is 16cm, find the other diagnol​

Answer 1

Answer:

The length of the other diagonal is 15.25 cm

Step-by-step explanation:

We Have :-

Area of Rhombus = 122 cm²

Length of one diagonal = 16 cm

To Find :-

The other Diagonal

Formula Used :-

$area \: of \: rhombus \: = \: \dfrac{diagonal1 \times diagonal2}{2}$

Solution :-

$area \: of \: rhombus \: = \: \dfrac{diagonal1 \times diagonal2}{2} \\ \\ 122 \: = \: \dfrac{16 \times x}{2} \\ \\ 122 \times 2 = 16 \times x \\ \\ 244 = 16x \\ \\ x = \dfrac{244}{16} \\ \\ x = 15.25 \: cm$

The length of the other diagonal is 15.25 cm

Answer 2

Given

• Area of a rhombus = 122 cm²
• One if its diagonal (d₁) = 16 cm

To find

• The other diagonal (d₂)

Solution

Area of rhombus = d₁ × d₂ / 2

• 122 = 16 × d₂ / 2
• 122 × 2 = 16 × d₂
• 244 = 16 × d₂
• d₂ = 244/16
• d₂ = 15.25

Hence, the length of the other diagonal (d₂) is 15.25 cm.

Verification

• Area = Diagonal₁ × Diagonal₂ / 2
• 122 = 16 × 15.25 / 2
• 122 = 244/2
• 122 = 122
• L.H.S = R.H.S