Perpendicular from the right angle to the hypotenuse = product of legs / hypotenuse
This type of question, asked 6 times: CDS 1 2019, CDS 1 2021, CDS 1 2023, CDS 2 2023, CDS 1 2025, CDS 2 2025. All 6 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 1 2019
48is a triangle right angled at . If cm and cm, then what is the length of the perpendicular drawn from the vertex to the hypotenuse ?Tap an option to check your answer.
Question 2
CDS 1 2021
88is a triangle right angled at . Let be the length of the perpendicular drawn from on . If cm and cm, then what is the value of ?Tap an option to check your answer.
Question 3
CDS 1 2023
56Let ABC be a right-angled triangle with sides 5 cm, 12 cm and 13 cm. If is the length of the perpendicular drawn from vertex A on the hypotenuse BC, then what is the value of ?Tap an option to check your answer.
Question 4
CDS 2 2023
84In a triangle ABC, angle and p is the length of the perpendicular from B to AC. If BC = 10 cm and AC = 12 cm, then what is the value of p ?Tap an option to check your answer.
Question 5 (case study, 2 parts)
CDS 1 2025
ABC is a triangle right-angled at A. Further, AB = 8 cm, BC = 10 cm. D is the point on BC such that AD is perpendicular to BC.65What is AD equal to ?Tap an option to check your answer.
66What is ratio of area of triangle ADC to area of triangle ADB ?Tap an option to check your answer.
Question 6
CDS 2 2025
72is a triangle right angled at . is a point on such that is perpendicular to . If and , then what is equal to?Tap an option to check your answer.