TheAnimeGirlidn
Answered

Discover new knowledge and insights with IDNLearn.com's extensive Q&A database. Get accurate and comprehensive answers from our network of experienced professionals.

A line segment AB is increased along its length by 25% by producing it to C on the side of B . If A and B have the coordinates ( 1 , 2 ) and ( 5 , 6 ) respectively then find the coordinates of C.
Ans : ( 6 , 7 )

*Please show your workings* ​

Sagot :

Mhanifaidn

Answer:

  • C = (6, 7)

Step-by-step explanation:

Coordinates of point B in terms of A and C:

  • x = x₁ + (x₂ - x₁)*a/(a + b)
  • y = y₁ + (y₂ - y₁)*a/(a + b)
  • B(x, y) = (5, 6), A(x₁, y₁) = (1, 2), C(x₂, y₂) = ?

Find the coordinates:

  • 5 = 1 + (x₂ - 1)*4/5  ⇒ 4 = 4/5*(x₂ - 1) ⇒ x₂ - 1 = 5 ⇒ x₂  = 6
  • 6 = 2 + (y₂ - 2)*4/5 ⇒ 4 = 4/5(y₂ - 2) ⇒ y₂ - 2 = 5 ⇒ y₂ = 7
  • C = (6, 7)
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.