Question

one diagonal and it's opposite angle of a rhombus are 30cm,60°, it's area is​

Answer 1

hey mate, here's your answer
The side of rhombus are always equal

Given,length of one diagonal is 30cm

From the given figure let the opposite angle is angle B

angleB=60 degree
now in triangle ABC,
AB=BC ( sides of rhombus )
angle BAC = angle BCA ( angle opposite to equal side)
Let angle BAC=x
Angl.BAC+Angl.BCA+Angl.ABC=180
x + x + 60 = 180
2x = 120
x = 120/2
x= 60
hence, triangle ABC is an equilateral triangle
Area of an equilateral triangle is root3/4* a^2

root 3/4*30*30
= 225 root 3
Similarly triangle ADC is an equilateral triangle
also with area 225 root 3
hence, area of rhombus = area of triangleABC + area of triangle ADC
Area of rhombus = 225 root 3 + 225 root 3
= 450 root 3

Answer 2

Step-by-step explanation:

x+x+60=120=x=60

equilateral=√3/4*a*a

√3/4*30*30

225√3