Question

complete the following activity to find the length of median AQ on side BC, if AB² + AC² = 122 and BQ = 5 .​

Answer 1

Answer:

Greetings learner, will be very happy to answer this question. Actually, to solve this question, we need to use apollonius theorem...

First, let's understand what is apollonius theorem.

So in a triangle, if a median is drawn from one of the three vertices to the opposite side of the triangle, then the sum of the square of the sides meeting at the origin of the median, must be equal to twice the sum of squares of the median and one of the equal parts of the side, with the median on it. Which means , in the given question , on observing the triangle , we see that we can apply the apollonius theorem in this question. So by apollonius theorem -

AB^2 + AC^2 = 2(AQ^2 + BQ^2)

AB^2 + AC^2 given as 122.

BQ given as 5. Hence BQ^2 = 25

On solving, we get AQ = 6

Hence AQ=6.

NOTE

• If this question comes in CBSE exam, then mention of the theorem used must be present, without fail.
• The language used to express your method of solving in the question must be crystal , clear to the examiner because CBSE examiners are often very impatient, and they do not have the time to read the answer scripts of all the students one by one.
• In ICSE exam, you are expected to not make any silly mistake. That's all

Pls mark the brainliest, if understood