Question

Four friends Aditi, Anita, Lavanya and Deepa were sitting in their classroom from the bottom as follows:
Aditi: Fourth row and fifth column Anita: Seventh row and sixth column Lavanya: Fourth row and third column Deepa: First row and second column
Teacher asked Aditya, "Are they sitting in Rectangle?" Manoj took a ruler and tried to see whether they are sitting in Rectangle or not. He was not sure as the ruler was too short for this purpose. Aditi performed certain calculations and claimed that they are not sitting in Rectangle. State how did she arrive at this conclusion.

Answer 1

Answer:

Let the points be A(4,5) B(7,6) C(4,3) D(1,2)

For a rectange we need - AB = CD , BC = AD and AC = BD

AB = root(10)

BC = root(18)

CD = root(10)

AD = root(18)

AC = 2

BD = root(52)

we have AB=CD and BC=AD , but AC !=BD .Thus , it is a parrallelogram and not a rectangle.

Hope this helps.

Answer 2

Answer: The way to prove is given below In the attachment