Question

a field is in the shape of a rhombus of side 30m. length of its one diagonal is 48m. find the area by heron's fourmula

Answer 1

Answer:

Here is the formula for calculating the area of a rhombus:

The diagonals and the the sides form four similar right angel triangles. When you apply Pythagoras theorem this is the formula you find:

⇒  1/2p√(4a²﹣p²) ..Where p is the diagonal and a is the side given.

⇒  1/2× 48√(4×30²﹣48²)

⇒ 1/2 x 48√(3600 - 2304)

⇒ 1/2 x 48√(1296)

⇒1/2 × 48 x 36 = 864

Therefore the area of this rhombus shaped field is 864 m²

Step-by-step explanation:

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