Question:
The sides of a right-angled triangle ae in an arithmetic progression. If the area of the triangle is 54, then the length of the longest side is
The sides of a right-angled triangle ae in an arithmetic progression. If the area of the triangle is 54, then the length of the longest side is
Updated On: Feb 11, 2025
- 6
- 12
- 15
- 9
- 18
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is (C): 15
Was this answer helpful?
1
0
Top Questions on Arithmetic Progression
- Suppose that the number of terms in an A.P. is \( 2k, k \in \mathbb{N} \). If the sum of all odd terms of the A.P. is 40, the sum of all even terms is 55, and the last term of the A.P. exceeds the first term by 27, then \( k \) is equal to:
- JEE Main - 2025
- Mathematics
- Arithmetic Progression
- The 20th term from the end of the progression \[ 20, 19, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, \ldots, -129 \frac{1}{4} \] is:
- JEE Main - 2024
- Mathematics
- Arithmetic Progression
- If ln a, ln b, ln c are in AP and ln a – ln 2b, ln 2b – ln 3c, ln 3c – ln a are in AP then a : b : c is
- JEE Main - 2024
- Mathematics
- Arithmetic Progression
- Assertion (A): The sum of the first fifteen terms of the AP $21, 18, 15, 12, \dots$ is zero.
Reason (R): The sum of the first $n$ terms of an AP with first term $a$ and common difference $d$ is given by: \[ S_n = \frac{n}{2} \left[ a + (n - 1) d \right]. \]- CBSE Class X - 2024
- Mathematics
- Arithmetic Progression
- The sum of the first three terms of an AP is 30 and the sum of the last three terms is 36. If the first term is 9, then the number of terms is :
- CBSE Class X - 2024
- Mathematics
- Arithmetic Progression
View More Questions
Questions Asked in KEAM exam
- A Combination of two charges +1 nC and -1 nC are separated by a distance of 1 μm. This Constituted electric dipole is placed in an electric field of 1000 V/m at an angle of 45 degree. The torque and the potential energy on the electric dipole are:
- KEAM - 2023
- electrostatic potential and capacitance
- A series LCR circuit consists of a variable capacitor connected to an inductor of inductance 50 mH,resistor of resistance 100 Ω and an AC source of angular frequency 500 rad/s. The value of capacitance so that maximum current may be drawn into the circuit is:
- KEAM - 2023
- Alternating current
- If (2,-6),(5,2) and (-2,2) constitute the vertices of a triangle then the the line joining the origin and its orthocentre is
- KEAM - 2023
- Coordinate Geometry
- If\( \dfrac{1+sinx}{1-sinx}=\dfrac{(1+siny)^3}{(1-siny)^3}\) for some real values \(x\) and \(y\) ,then \(\dfrac{sinx}{siny}\)=
- KEAM - 2023
- Trigonometry
For any real number \(x\), the least value of \(4cosx-3sinx+5\) is ?
- KEAM - 2023
- Trigonometric Functions
View More Questions