Right triangle with a midpoint or trisection point on a leg: Pythagoras on the line from the opposite vertex
This type of question, asked 4 times: CDS 2 2020, CDS 2 2021, CDS 2 2025, CDS 1 2026. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2020
87ABC is a triangle right-angled at C. Let P be any point on AC and Q be any point on BC. Which of the following statements is/are correct ? 1. 2. Select the correct answer using the code given below :Tap an option to check your answer.
Question 2 (case study, 3 parts)
CDS 2 2021
Consider the following for the next three (03) items that follow : is a triangle with cm, cm and cm. Let and be the mid-points of and respectively.86What is equal to ?Tap an option to check your answer.
87What is equal to ?Tap an option to check your answer.
88What is equal to ?Tap an option to check your answer.
Question 3
CDS 2 2025
63is a triangle right angled at . is the midpoint of and is the midpoint of . Consider the following : I. units II. units Which of the above is/are required to determine the area of the triangle?Tap an option to check your answer.
Question 4
CDS 1 2026
56ABC is a triangle right-angled at B. Points M and N trisect BC. If cm and cm, then what is AC equal to ?Tap an option to check your answer.
Question 5
CDS 1 2026
55ABC is a triangle right-angled at C. Let P be the midpoint of BC. If cm and cm, then what is the perimeter of the triangle ABC ?Tap an option to check your answer.