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:
Option 1: 8 : 15
Option 2: 15 : 8
Option 3: 5 : 8
Option 4: 8 : 5
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: 15 : 8
Solution : The area of a triangle $=\frac{1}{2} \times \text{base} \times \text{height}$ Given that the ratio of the altitudes of two triangles is 4 : 5 and the ratio of their areas is 3 : 2. $\frac{\text{Area of Triangle 1}}{\text{Area of Triangle 2}} = \frac{\text{Base of Triangle 1} \times \text{Height of Triangle 1}}{\text{Base of Triangle 2} \times \text{Height of Triangle 2}}$ $⇒\frac{3}{2} = \frac{\text{Base of Triangle 1} \times 4}{\text{Base of Triangle 2} \times 5}$ $⇒\frac{\text{Base of Triangle 1}}{\text{Base of Triangle 2}}=\frac{3\times 5}{2\times 4}=\frac{15}{8}$ Hence, the correct answer is 15 : 8
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
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.
Question : If the areas of two isosceles triangles with equal corresponding angles are in the ratio of $x^2:y^2$, then the ratio of their corresponding heights is:
Question : Which of the following is a true statement?
Question : The sides of two similar triangles are in the ratio 5 : 7. The areas of these triangles are in the ratio of:
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?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile