Question : The area of the two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7. Find the ratio of their bases.
Option 1: 3 : 5
Option 2: 7 : 3
Option 3: 7 : 5
Option 4: 2 : 3
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 7 : 3
Solution : Area of triangle = $\frac{1}{2}×{\text{Base × Height}}$ $\frac{\text{Area of triangle 1}}{\text{Area of triangle 2}}=\frac{\frac{1}{2}\times \text{Base}_1 \times \text{Height}_1}{\frac{1}{2}\times \text{Base}_2 \times \text{Height}_2}$ ⇒ $\frac{5}{3}=\frac{\text{Base}_1 \times 5}{\text{Base}_2 \times 7}$ ⇒ $\frac{\text{Base}_1}{\text{Base}_2}=\frac{7}{3}$ Hence, the correct answer is 7 : 3.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : If the ratio of corresponding sides of two similar triangles is $\sqrt{5}: \sqrt{7},$ then what is the ratio of the area of the two triangles?
Question : Given that the ratio of the altitude of two triangles is 4 : 5, the ratio of their areas is 3 : 2, the ratio of their corresponding bases is:
Question : The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is _______.
Question : The radii of two cylinders are in the ratio 3 : 4 and their heights are in the ratio 8 : 5. The ratio of their volumes is equal to:
Question : The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 4 : 3. Their volumes will be in the ratio ______.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile