Question

4.
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) 19cm
(d) 19.2cm
​

Answer 1

Answer:

Area of the Rhombus = Using Pythagoras theorem Side = 20cm Area of the Rhombus = base x altitude 384 = 20 x altitude So altitude = 384/20 = 19.2cm

Answer 2

Answer:

19.2 cm

Step-by-step explanation:

h² = 12² + 16² = 400.

∴ The length of the side of the rhombus is 20 cm.

area of a rhombus = ½×d1×d2

are of a rhombus= base × height

∴ comparing both formulas

½×24×32 = 20×h (base is side of the rhombus)

∴ h= 19.2 cm.