Altitude to the hypotenuse: AD^2 = BD x DC and AB^2 = BD x BC
This type of question, asked 5 times: CDS 2 2018, CDS 1 2021, CDS 1 2022, CDS 2 2022, CDS 2 2026. All 6 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2018
97In the figure given below, ABC is a triangle with AB perpendicular to BC. Further BD is perpendicular to AC. If AD = 9 cm and DC = 4 cm, then what is the length of BD ?Tap an option to check your answer.
Question 2
CDS 1 2021
79is a triangle right angled at and is perpendicular to . If cm and cm, then what is equal to?Tap an option to check your answer.
Question 3
CDS 1 2022
86In a right triangle , is perpendicular on hypotenuse . If cm and cm, then what is approximately equal to?Tap an option to check your answer.
Question 4
CDS 1 2022
12The perpendicular dropped from a vertex of a right-angled triangle upon the hypotenuse divides it into two segments of lengths 9 units and 16 units respectively. What is the length of the perpendicular?Tap an option to check your answer.
Question 5
CDS 2 2022
76Triangle ABC is right-angled at A and AD is perpendicular to BC. If BD = 7.5 cm and DC = 10 cm, then what is AD equal to ?Tap an option to check your answer.
Question 6
CDS 2 2026
63A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABC is a triangle right-angled at A and AD is perpendicular to BC. If AD = 7.2 cm, then what is BD CD equal to ? Statement I : AB : AC = 3 : 4. Statement II : BC = 15 cm. Which one of the following is correct in respect of the above Question and Statements ?Tap an option to check your answer.