Home
Class 12
MATHS
about to only mathematics...

about to only mathematics

A

16

B

18

C

24

D

22

Text Solution

Verified by Experts

The correct Answer is:
B, D

Let `s-a = 2k -2, s-b = 2k, s -c = 2k + 2, k in I, k gt 1`
Adding we get,
`s = 6k`. So, `a = 4k +2, b = 4k, c = 4k -2`
Now, `cos P = (1)/(3) rArr (b^(2) + c^(2) -a^(2))/(2bc) = (1)/(3)`
`rArr 3[(4k)^(2) + (4k -2)^(2) - (4k + 2)^(2)] = 2 xx 4k (4k -2)`
or `3[16 k^(2) - 4 (4k) xx 2] = 8k (4k -2)`
or `48k^(2) - 96k = 32 k^(2) - 16k or 16k^(2) = 80k or k = 5`
So, sides are 22, 20, 18
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Main Previous Year|2 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

  • PROPERTIES OF TRIANGLE, HEIGHT AND DISTANCE

    CENGAGE|Exercise Question Bank|15 Videos

Similar Questions

Explore conceptually related problems

A school library has 75 books on Mathematics, 35 books on physics. A student can choose only one book , In how many ways a student can choose a book on Mathematics or physics?

The first theorem in mathematics is ………… .

There are 15 candidates for an examination . 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together ?

There are 15 candidates for an examination. 7 candidates are appearing for mathematics examination while the remaning 8 are appearing for different subjects. In how many ways can they be seated in a row so that no two mathematics candidates are together?

There are 15 candidates for an examination. 7 candidates are appearing for mathematics examination while the remaining 8 are appearing for different subjects . In how many ways can they be seated in a row so that no two mathematics candidates are together ?

A bag contains a total of 20 books on physics and mathematics, Any possible combination of books is equally likely. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 3 books on mathematics.

The probability that a student will score centum in mathematics is (4)/(5) . The probability that he will not score centum is ............