Question

The perimeter of a rhombus is 100cm. one of its diagonal is 40 cm. find the other diagonal.​

Answer 1

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Answer 2

Answer:

30cm

Step-by-step explanation:

Perimeter = 100cm

Diagonal 1 = 40cm

We know that all sides of a rhombus are equal.

So, 4 × Side = 100

Side = 25 cm

Now, since we know that a rhombus is a ||gm

So, Its diagonals bisect each other.

Therefore, it forms 4 right triangles

So, by pythagorus theorem

(Side)^2 = (Hypotenuse)^2 + (Base)^2

625 = 400 + B^2

B = root 225

B = 15 cm

Diagonal 2 = 2 × B = 2 × 15 = 30 cm