web analytics

Ex 6.2, 2 - E and F are points on the sides PQ and PR - Ex 6.2

  1. Chapter 6 Class 10 Triangles
  2. Serial order wise
Ask Download

Transcript

Ex 6.2, 2 E and F are points on the sides PQ and PR respectively of a ΔPQR. For each of the following cases, state whether EF || QR : (i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm Note- If a line divides any two sides of the triangle in the same ratio, then the line is parallel to the third side. So, in order to prove EF II QR we have to prove that 𝑃𝐸/𝐸𝑄 = 𝑃𝐹/𝐹𝑅 Since L.H.S ≠ R.H.S Hence, EF and QR are not parallel Ex 6.2, 2 E and F are points on the sides PQ and PR respectively of a ΔPQR. For each of the following cases, state whether EF || QR : (ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and FR = 9 cm Note- If a line divides any two sides of the triangle in the same ratio, then the line is parallel to the third side. In-order to prove EF II QR we have to prove that 𝑃𝐸/𝐸𝑄 = 𝑃𝐹/𝐹𝑅 Since L.H.S = R.H.S Hence, EF ∥ QR Ex 6.2, 2 E and F are points on the sides PQ and PR respectively of a ΔPQR. For each of the following cases, state whether EF || QR : (iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm, PF = 0.36 cm Note- If a line divides any two sides of the triangle in the same ratio, then the line is parallel to the third side. Inorder to prove EF II QR , we have to prove that 𝑃𝐸/𝐸𝑄 = 𝑃𝐹/𝐹𝑅 Now, we find the ratios Since L.H.S = R.H.S Hence, EF ∥ QR

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.
  • Himanshu sagar's image
    The angel of elevation of top of building from the foot of a tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 metre high.find the hight of the building.
    View answer
Jail