Question

a rhombus has an area of 40 centimetres square and adjacent angle of 50 degree and 130 degree find the length of the side of the Rhombus​

Answer 1

Answer:

7.22 cm

Step-by-step explanation:

Two diagonals divide a rhombus into 4 congruent triangles

So area of each tri' is 10 sq cm

= half base*height=0.5*b*h

now ratio of base to height

=tan of angle 130°/2

=tan 65°

=2.144=h/b

so

h=b*2.144

and area of each of 4 tri'

=10=0.5bh=0.5*b*b*2.144

so b^2=10/1.072=9.328

or b=√9.328

=3.05 and h=6.55

hence each side of rhom'

=√(3.05sq+6.55sq)

=√(9.30+42.87)

=√(52.17)

=7.22cm...ANS

Answer 2

Step-by-step explanation:

A Rhombus has an area of 40 cm^2 and adjacent angles of 50° and 130°. Find the length of a side of the Rhombus