Question:
In ΔPQR, \(∠P\), \(∠Q\) and \(∠R\) are in geometric progression in the same order. \(∠Q\) = \(60°\). What is the perimeter of the triangle if the height of the triangle is \(6\) cm
In ΔPQR, \(∠P\), \(∠Q\) and \(∠R\) are in geometric progression in the same order. \(∠Q\) = \(60°\). What is the perimeter of the triangle if the height of the triangle is \(6\) cm
Updated On: Jul 24, 2024
- \(24\sqrt{3}\;cm\)
- 24 cm
- \(18\sqrt{3}\;cm\)
- 18 cm
- \(12\sqrt{3}\;cm\)
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct answer is option (C): \(18\sqrt{3}\;cm\)
Was this answer helpful?
0
0
Top Questions on Geometric Progression
- If \( a, b, c \) elements are in geometric progression, then \( \log a, \log b, \log c \) will be in:
- TG EDCET - 2025
- Mathematics
- Geometric Progression
- Find the sum of the infinite geometric series: $$ S = 8 + 4 + 2 + \cdots $$ if it converges.
- BITSAT - 2025
- Mathematics
- Geometric Progression
- If $ a, a r, a r^2 $ are in a geometric progression (G.P.), then find the value of: $ \left| a \quad a r \right| \quad \left| a r^2 \quad a r^3 \right| = \left| a r^3 \quad a r^6 \right| $
- KEAM - 2025
- Mathematics
- Geometric Progression
- The product of the first five terms of a GP is 32. What is the 3rd term?
- KEAM - 2025
- Mathematics
- Geometric Progression
- If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth and twelfth terms is 15309, then the sum of its first nine terms is:
- JEE Main - 2025
- Mathematics
- Geometric Progression
View More Questions
Questions Asked in IBSAT exam
- Lumber : Bear :: Waddle :
Directions: In the question, the first two words are related in a particular manner. You have to choose a word from the options so that a new pair of words is formed where the relation is the same as that of the first pair of words. You are required to consider the secondary meaning of certain words while choosing an answer.- IBSAT
- Analogy
- A boy has some coins with some value on them. He arranges the coins in the form of a star as shown below such that the sums of the numbers in the four circles along any line segment of the star are all equal. What is the sum of the missing numbers?
- IBSAT
- Logical and Analytical Reasoning Skills
- Directions: Fill in the blanks with the words that best fit the meaning of the sentence as a whole.
If a nation is unable to come to ______ on interpreting its own past, it will be unable to ______ its national interests.- IBSAT
- Fill in the Blanks
- The functions f(x) and g(x) are related as f(g(x)) = xg(f(f(x))), where f (x) = \(\frac{x}{x-1}\). What could be the functional form g(x)?
- IBSAT
- Functions
- If p, q, r and s are four positive integers such that pqrs = 1, what is the minimum value of (2 + p)(3 + q)(4 + r)(5 + s)?
- IBSAT
- Quadratic Equation
View More Questions