Ex 9.1

Chapter 9 Class 8 Mensuration
Serial order wise

### Transcript

Ex 9.1, 6 Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.Given, Side of rhombus = 6 cm & Altitude = 4 cm Since, a rhombus is also a Parallelogram ∴ Area of rhombus = Area of Parallelogram = Base × Height Putting Base = Side = 5 cm & Height = Altitude = 4.8 cm ∴ Area of rhombus = Base × Height = 5 × 4.8 = 5 × 48/10 = 48 × 1/2 = 24 cm2 ∴ Area of rhombus = 24 cm2 Finding length of diagonal: Given, Length of one diagonal = d1 = 8 cm Let Length of other diagonal = d2 Now, Area of rhombus = 1/2 × 𝑑1 × 𝑑2 Putting values 24 = 𝟏/𝟐 × 𝟖 × 𝒅𝟐 24 = 4 × 𝑑2 24/4 = 𝑑2 6 = 𝑑2 𝒅𝟐 = 𝟔 ∴ Length of other diagonal = 6 cm

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.