Question

7. Find the area of rhombus whose side is 5cm and altitude is 6 cm. If one diagonal is 8cm, find the other diagonal.

Answer 1

Answer:

rhombus is also a parallelogram

Area of rhombus=base\times heightbase×height

Base=5cm

Height=4.8cm

Area=5cm\times4.8cm5cm×4.8cm

=24cm^2=24cm

2

Also d_1=8cm\ \ d_2=?d

1

=8cm d

2

=?

Area of rhombus=\frac{1}{2}\times product\ of\ diagonals

2

1

×product of diagonals

24=\frac{1}{2}\times8\times d_2

2

1

×8×d

2

24=4\times d_24×d

2

d_2=\frac{24}{4}d

2

=

4

24

=6cm

Hence,length of other diagonal is 6cm.

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Answer 2

Answer:

15

Step-by-step explanation:

1) area of rhombus = half × d1 × d2.

2) Area of rhombus also equal to 4 × half × base × height.

3) half × d1 × d2 = 4 × half × base × height

4) 1÷2 × 8 × d2 = 4 × 1÷2 × 5 × 6

5) 4 × d2 = 2 × 5 × 6

6) 4 × d2 = 60

7) d2 = 60 ÷ 4 = 15.