Question
In a triangle ABC, a point D lies on AB and points E and
F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. then find the length (in cm) of BC.Solution
Δ BDE ~ Δ BAF -------- (i) Δ BDF ~ Δ ABC ------- (ii) From (i), => x/(x+y) = 4/10 ------- (iii) From (ii), => x/(x+y) = 10/(10+t) ------- (iv) Now using (iii) in (iv) we get, => 4/10 = 10/(10+t) => 20 + 2t = 50 => t = 15 Therefore, BC = 4 + 6 + 15 = 25 cm
If the diagonal of a square is increased by 4 cm, its area increases by 56 cm2 . Find the ratio of the new area of the square to the initial ...
The average mark obtained by 150 candidates in a certain examination is 45. If the average marks of passed candidates are 55 and that of the failed cand...
A purse has 10p, 20p and 50p coins in the ratio 9 : 6 : 5. If the total value is Rs. 55.20, find 75% of the number of 50p coins.
- Find the third proportion of 15.2 and 19.
Ratio of the number of belts to that of purses in a store is 2:5. The ratio of the selling price of each belt to that of each purse is 4:3. If revenue g...
The sum of three numbers is 118. If the ratio of the first number to the second number is 3 : 4 and that of the second number to the third number is 5 ...
- In a classroom, the ratio of the number of left-handed to right-handed students is 5:6. When 10 more students of each type join, the ratio changes to 15:16...
Rs. 960 is divided among A, B and C in the ratio 4 : 5 : 7. What is C’s share?
- The ratio of the number of fiction to non-fiction books in a library is 4:7. If 16 more books of each type are added, the ratio becomes 8:13. Find the numb...
Relevant for Exams:
