Smaller diagonal of rhombus is equal to the length of its sides.If length of each side is 4 cm,what is the areaof an equilateral triangle with side equal to the diagonal of the rhombus?
Answers
Answered by
0
Answer:
diagonal of rhombus=side of equilateral triangle
Side=4cm
Area of triangle= √3/4*side ^2 ( because it is equilateral triangle)
Answer is 4√3 sq cm
Answered by
0
Answer:
20.78
Step-by-step explanation:
AB = BD = 4 cm
ΔABD is an equilateral triangle
Ar (ΔABD) = √3 (side)2/4
Ar (ΔABD) = 4√3
Ar (rhombus ABCD) = 2 [Ar (ΔABD)]
Ar (rhombus ABCD) = 8√3
Ar (rhombus ABCD) = ( 1/2) × AC ×BD
(1/2) × AC × BD = 8√3
AC = (8√3 × 2)/4 = 4√3
AC is the side of new equilateral Δ
Area of new triangle = [√3 × (4√3)2]/4
Required area = 12√3 cm^2
Similar questions