Question : If the ratio of the altitudes of two triangles is 3 : 4 and the ratio of their corresponding areas is 4 : 3, then the ratio of their corresponding lengths of bases is:
Option 1: 1 : 1
Option 2: 16 : 9
Option 3: 1 : 2
Option 4: 2 : 1
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 16 : 9
Solution : Given: the ratio of the altitudes of two triangles is 3 : 4 and the ratio of their corresponding areas is 4 : 3. Let the altitudes of two triangles be 3$x$ and 4$x$ and the areas of the triangles be 4$y$ and 3$y$, respectively. Also, their corresponding lengths of bases be $a$ and $b$, respectively. According to the question, $\frac{\frac{1}{2}×a×3x}{\frac{1}{2}×b×4x}=\frac{4y}{3y}$ ⇒ $\frac{a}{b}=\frac{4}{3}×\frac{4}{3}$ ⇒ $\frac{a}{b}=\frac{16}{9}$ Therefore, the ratio of their corresponding lengths of bases is 16 : 9. Hence, the correct answer is 16 : 9.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : If the areas of two similar triangles are in the ratio 36 : 121, then what is the ratio of their corresponding sides?
Question : If the ratio of the diameters of two right circular cones of equal height is 3 : 4, then the ratio of their volume will be:
Question : The ratio of the volume of the two cones is 2 : 3, and the ratio of the radii of their bases is 1 : 2. The ratio of their heights is:
Question : If the density of oxygen is 16 times that of hydrogen, what will be their corresponding ratio to the velocity of sound?
Question : Two numbers are in the ratio 9 : 16. If both numbers are increased by 40, then their ratio becomes 2 : 3. What is the difference between the two numbers?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile