web analytics

Ex 12.1, 3 - There is a slide in the park. One of its side - Finding area of triangle

  1. Chapter 12 Class 9 Herons Formula
  2. Serial order wise
Ask Download

Transcript

Ex 12.1, 3 There is a slide in the park. One of its side walls has been painted in the same colour with a message “KEEP THE PARK GREEN AND CLEAN” (see the given figure). If the sides of the wall are 15m, 11m, and 6m, find the area painted in green colour. Area of triangle = √(s(s−a)(s−b)(s −c)) Here, s is the semi-perimeter, and a, b, c are the sides of the triangle Given sides of triangle 15 m, 6m , 11 m So, a = 15 m, b = 6m , c = 11 m s = (𝑎 + 𝑏 + 𝑐)/2 Area of triangle = √(𝑠(𝑠 −𝑎)(𝑠 −𝑏)(𝑠 −𝑐)) Putting a = 15 m, b = 6m , c = 11 m , s = 16 m =√(16(16−11)(16−6)(16−15)) m2 = √(16×5×10×1) m2 = √16×√(5×10) m2 = √16×√(5×5×2) m2 = √16×√(5×5) " "×√2 m2 = √42×√52 " "×√2 m2 = 4 × 5 ×√2 m2 = 20 √2 m2 Therefore, the area painted in colour is = 20 √2 m2 .

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
Jail