Question

In ∆ABC, prove that

$sin \frac{A}{2} + sin \frac{B}{2} - sin \frac{C}{2} = \: \\ -1 + 4 \: cos \frac{\pi - A}{4} \: cos \frac{\pi - B}{4} \: sin \: \frac{\pi - C}{2}$
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given,

The median of observation 11,12,14,18,x+2,20,22,25,61 arranged in ascending order is 21.

To Find,

The value of x =?

Solution,

We can solve the question as follows:

It is given that the median of observations 11,12,14,18,x+2,20,22,25,61 is 21. We have to find the value of x.

In the given question, the number of observations is odd i.e. 9.

If the number of observations is odd and arranged in ascending order, the median of the observations is equal to the middle term.

Here, the middle term is x + 2.

Therefore,

x + 2 = 21x+2=21

x = 21 - 2x=21−2

x = 19x=19

Hence, the value of x is equal to 19.