Question

119. The diagonals of a rhombus are 64 cm and 48 cm. Find the height of rhombus?

a. 35.4

b. 36.4

c. 37.4

d. 38.4​

Answer 1

Answer:

Height of the rhombus 

=Side of the rhombusArea of the rhombus

Area of the rhombus

=21× product of diagonals

=21×64×48=32×48cm2

Lengths of the semi-diagonals=32 and 24

∴ Side of the rhombus

=322+242

=(8×4)2+(8×3)2

=8×42+32

=8×5=40cm

∴height=DL

=4032×48=38.4cm

option c is correct answer sis

Answer 2

Answer:38.4​

Step-by-step explanation:

Height of the rhombus  

=Side of the rhombusArea of the rhombus

Area of the rhombus

=21× product of diagonals

=21×64×48=32×48cm2

Lengths of the semi-diagonals=32 and 24

∴ Side of the rhombus

=322+242

=(8×4)2+(8×3)2

=8×42+32

=8×5=40cm

∴height=DL

=4032×48=38.4cm