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?
Option 1: $\sqrt[3]{5}: \sqrt{7}$
Option 2: $25: 49$
Option 3: $\sqrt{5}: \sqrt{7}$
Option 4: $5: 7$
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: $5: 7$
Solution : Given, the ratio of sides of similar triangles = $\sqrt{5}: \sqrt{7}$ We know the ratio of areas of similar triangles is equal to the square of the ratio of sides of those similar triangles $\therefore$ Ratio of areas of similar triangles = $(\sqrt{5})^2: (\sqrt{7})^2=5 : 7$ Hence, the correct answer is $5 : 7$.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : If the ratio of the area of two similar triangles is $\sqrt{3}:\sqrt{2}$, then what is the ratio of the corresponding sides of the two triangles?
Question : The sides of two similar triangles are in the ratio 5 : 7. The areas of these triangles are in the ratio of:
Question : Which of the following is a true statement?
Question : If the areas of two similar triangles are in the ratio 196 : 625, what would be the ratio of the corresponding sides?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile