Question

роли (a)350m 1 The lengths of the diagonals of a rhombus are 24cm and 32cm, then the length of the altitude of the rhombus is (a) 12cm (b) 12.8cm (c) 19 cm (d) 19.2cm one head?​

Answer 1

Answer:

350m 1 The lengths of the diagonals of a rhombus are 24cm and 32cm, then the length of the altitude of the rhombus is

19.2cm one head

Answer 2

Answer:

Option D

The length of the altitude of the rhombus is $19.2cm$

Step-by-step explanation:

Given:

The lengths of the diagonals of a rhombus are $24cm$ and $32cm$

We need to find the length of the altitude of the rhombus.

We know that $s^2=( d_{1}/2)^2+(d_2/2)^2$

So we get the side of the rhombus as

$s^2=12^2+16^2\\s^2=400\\s=20$

The area of the rhombus is $=\frac{1}{2}*d_1*d_2=s*h$

side or base is the same.

$=\frac{1}{2}*(24)*(32)=20*h\\\\h=\frac{12*32}{20} \\\\h=19.2$

The altitude is $19.2cm$