Math, asked by sanvivinay082, 10 months ago

The area of a rhombus is 480 sq m. if one of its diagonal is 30 m, find the other diagonal​

Answers

Answered by sowmya1239
1

Step-by-step explanation:

we know that,

AREA = 1/2 × d1 (diagonal 1) × d2 ( diagonal 2)

480m^2 = 1/2 × 30 × d2

480/15 = d2

32m = 2nd diagonal (d2)

Answered by skyfall63
1

The other diagonal of the Rhombus is 32 m.

Explanation:

The area of a rhombus may be defined as the amount of space enclosed by a rhombus in a two-dimensional space. The diagonal of the rhombus splits it into two congruent triangles, and so the two triangles have equal areas.

Given: Area of Rhombus = 480 m²

One diagonal, d₁ = 30 m

Other diagonal, d₂ = ?

Formula:

Area of Rhombus = \frac{1}{2}\times d_{1}\times d_{2}

480 = \frac{1}{2}\times 30\times d_{2}

480 = 15 x d₂

d₂ = \frac{480}{15}

d₂ = 32 m.

The other diagonal is 32 m.

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