Find the area of a rhombus with the measure of its side = 16 cm and altitude = 6 cm. If the length of one of its diagonal is 12 cm, find the length of the other diagonal. About the author Claire
Answer: Given :– Side = 16 cm Altitude = 6 cm To Find :– Other Diagonal Solution :– We know that Area = Side × Altitude Area = 16 × 6. Area = 96 cm² Since Area of rhombus = ½ × D1 × D2 Let the other Diagonal be x [tex] \sf \: 96 = \dfrac{1}{2} \times 12 \times x[/tex] [tex] \sf \: 96 = 6 \times x[/tex] [tex] \sf \: 96 = 6x[/tex] [tex] \dfrac{96}{6} = \sf \: x[/tex] [tex] \bf \: 16 = x[/tex] Other Diagonal measure 16 cm Reply
Answer:
Given :–
Side = 16 cm
Altitude = 6 cm
To Find :–
Other Diagonal
Solution :–
We know that
Area = Side × Altitude
Area = 16 × 6.
Area = 96 cm²
Since
Area of rhombus = ½ × D1 × D2
[tex] \sf \: 96 = \dfrac{1}{2} \times 12 \times x[/tex]
[tex] \sf \: 96 = 6 \times x[/tex]
[tex] \sf \: 96 = 6x[/tex]
[tex] \dfrac{96}{6} = \sf \: x[/tex]
[tex] \bf \: 16 = x[/tex]
Other Diagonal measure 16 cm