Question

Find the length of the altitude of a rhombus if lengths of its two diagonals are 12cm and 16cm respectively.

Answer 1

hiiii friend
here is your answer
as area of rhombus =0.5×d1×d2
=12×16×0.5
=96cm^2

also area =height × side
96 = 12 × side
96/12 =side
8cm = side



son the altitude to side 12cm be of 8cm



glad to help you
hope it helps
thank you.

Answer 2

Answer:

The length of the altitude of the rhombus = 8 cm

Step-by-step explanation:

Rhombus

• A quadrilateral having all four sides of the same length is called a rhombus.
• Area of rhombus is the space occupied in a 2-D space.
• We will be using two formulas to calculate the length of altitude.

1. Using diagonals - A = $\frac{1}{2}$ × d₁ × d₂
2. Using base and height - A = b × h

Using the first formula,

A =  $\frac{1}{2}$ × 12 × 16

A = 96 cm²

Now, using the second formula,

96 = 12 × length

Length = 8 cm

Conclusion:

The length of altitude of a rhombus is 8 cm.