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find the area of the rhombus whose side is 6 cm and whose altitude is 4 cm .if one one of its diagnols is 8 cm long , find the length of other diagnol.

find the area of the rhombus whose side is 6 cm and whose altitude is 4 cm .if one one of its diagnols is 8 cm long , find the length of other diagnol.

Grade:10

4 Answers

Faith
11 Points
7 years ago
Let abcd be a rhombus.
Side of rhombus=6 cm
Altitude of rhombus=4 cm.
Area of rhombus abcd=area of triangle ABD+area of triangle BCD
=half into b×h+ half into b×h
=half ×6×4+half×6×4
=12 +12
=24 cm2
Half into d1 ×d2 =24
d1×d2=24×2
8× d2=48
d2 =48 upon 8
d2=6cm
Deepraj
11 Points
6 years ago
Divide the rhombus into two triangles:-
Area of triangle= ½ * b * h 
½ * b * h + ½ * b * h
½ * 6 * 4 + ½ *6 * 4
= 12 +12
24 sq. cm
area of rhombus = ½ * product of its diagonals 
24 = ½ * 8 * d2
24= 4 * d2
d2 = 6 cm
amisha
31 Points
6 years ago
first we will divide the rhombus into two triangle
as rhombus abcd in triangle abc and triangle cda
area of rhombus = area of triangle abc and area of triangle cda
area of triangle abc= ½ * 6 * 4
                              = 12 cm 
area of triangle cda = ½ * 6 * 4
                              = 12 cm
on adding 
                  12cm + 12cm = 24cm
hence the area of rhombus is 24cm 
so now by appliying the formula we can find the diagonal
d1 = 8 cm
area = 24cm
area of rhombus = ½ * d1 * d2
                          24  = ½ * 8 * d2
                        24*2/8   = d2
                        6 cm = d2
hence the other diagonal is of 6 cm
Ankit singh
15 Points
5 years ago
Area of rhombus=altitude*side
                              =6*4sq.m
                              =24sq.m
Area of rhombus=half into (product of diagonal)
                     24     =1\2*8*x
                       X      =3m

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