Question

find the height of a rhombus whose diagonals are of length 9cm and 12cm and the base is 6cm​

Answer 1

Answer:

area of rhombus is 1/2×d1×d2

1/2×9×12

9×6

$54cm {}^{2}$

Answer 2

Answer:

$\large\bold\red{9\:cm}$

Step-by-step explanation:

Let,

The height of rhombus = h cm

Also,

It's Given that,

• d1 = 9 cm
• d2 = 12 cm
• b = 6 cm

We know that,

Rhombus is a paralleolgram

Therefore,

• Area = b × h

Also,

We know that,

• Area = ½ × d1 × d2

Therefore,

Both areas will be equal.

Thus we have,

$= > 6 \times h = \frac{1}{2} \times 9 \times 12 \\ \\ = > h = \frac{9 \times 6}{6} \\ \\ = > h = 9$

Hence , Height = 9 cm