(1) For what value of 'a' the median of 12,14,15,27,a+2,a+4,35,36,40,41, arranged in ascending order is 32 ?
(2) If a point C lies between two points A and B such that AC = BC, then prove that AC = 1/2 AB.
Answers
Answered by
1
Answer:
(1) a = 29
(2) see below
Step-by-step explanation:
(1) There area 10 numbers (and even number) so the median is the average of the two middle numbers; that is, the average of the 5th and 6th numbers. The 5th and 6th numbers are a+2 and a+4, and their average is a+3. So a+3 is the median. For the median to be 32, we must have a+3=32 => a =29.
(2)
AB = AC + BC [ since C is between A and B ]
=> AB = AC + AC [ since AC = BC ]
=> AB = 2AC
=> AC = 1/2 AB
Similar questions