Question

one side of a rhombus is 20 cm and one side of the diagonal is 24 cm find the area of the Rhombus

Answer 1

$\textbf{ Hello Mate! }$

Area of triangle by heron's formula

= √[ s( s - a )( s - b )( s - c )] where,

s = ( a + b + c ) / 2

s = ( 20 + 20 + 24 ) cm / 2

= 64 cm / 2 or 32 cm

= √[32( 32 - 20 )( 32 - 20)(32-24)

= √[ 2⁴ × 2 × 2² × 3 × 2² × 3 × 2³ ]

= ( 2 × 2 × 2 × 2 × 2 × 2 × 3 )

= 192 cm²

Area of rhombus = 196 cm² × 2 = 384 cm²

$\boxed{ Answer : 384 cm^2 }$

Have greay future ahead!