Question
If the areas of two similar triangles are in the ratio
196 : 625,what would be the ratio of the corresponding sides?Solution
ATQ, The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths. Let the ratio of the corresponding side lengths be a:b. Then, the ratio of their areas would be (a2) : (b2). Given that the ratio of the areas is 196:625, we can set up the equation: (a2) : (b2) = 196 : 625 To find the ratio of the corresponding side lengths, we can take the square root of both sides of the equation: √[(a2) : (b2)] = √(196 : 625) Simplifying, (a/b) = √(196/625) (a/b) = 14/25 Therefore, the ratio of the corresponding side lengths is 14:25.
'P' allocates 25% of his income to rent and then spends 40% of the remaining amount on food and travel. After these expenses, he spends Rs. 5600 on misc...
The value of A’s car is depreciating by 22% every year whereas the value of his house is appreciating by 16% each year as compared to the previous yea...
In a company, there are 450 employees. Out of these, 270 are men. If 60% of the women in the company are in the marketing department, and a total 137 me...
There were two candidate in an election. 15% of the total voters did not cast their votes whereas 10% of the casting votes were declared invalid. If the...
A man spends 30% and 18% of his monthly salary on rent and transportation, respectively. Out of the remaining money, he spends 29% on food and 44% on en...
In a city, the number of persons travelling by bike is 52.5% the number of persons travelling by metro. The number of persons travelling on foot is 60% ...
In an exam, two candidates scored 33% and 38% of the total marks, but both did not pass. The first candidate fell short by 56 marks, while the second c...
'Aman' is 4 years younger than 'Bharti', and 'Bharti' is 8 years younger than 'Chetna'. If the ratio of 'Aman's age 8 years from now to 'Chetna's age 6 ...
Tim spends 22% of his monthly income in travelling. He spends 25% of his monthly income on household expenses and spends 36% of his monthly income on fa...
In class ‘C’, the number of girls is 25% more than that of boys while in class ‘D’ the number of girls is 40% more than that of boys. If the tot...
Relevant for Exams:
