Sum of the medians compared with the perimeter (inequalities)
This type of question, asked 3 times: CDS 1 2018, CDS 2 2019, CDS 1 2022. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1 (case study, 2 parts)
CDS 1 2018
Consider the following for the next two (02) questions : In a triangle ABC, a, b and c are the lengths of the sides and p, q and r are the lengths of its medians.89Which one of the following is correct ?Tap an option to check your answer.
90Which one of the following is correct ?Tap an option to check your answer.
Question 2
CDS 2 2019
90Consider the following statements : 1. The perimeter of a triangle is greater than the sum of its three medians. 2. In any triangle ABC, if D is any point on BC, then . Which of the above statements is/are correct ?Tap an option to check your answer.
Question 3
CDS 1 2022
77Consider the following statements : 1. The sum of any two sides of a triangle is less than twice the median drawn to the third side. 2. The perimeter of a triangle is greater than the sum of the three medians. Which of the above statements is/are correct?Tap an option to check your answer.