Math, asked by sukhadeojawanjal201, 4 months ago

in ∆ ABC point M is the midpoint of side B
plzz guys tell me fast...! ​

Answers

Answered by Tikshan14
0

Answer:

easy divide

Step-by-step explanation:

Answered by SajanJeevika
1

Given:- I) In ΔABC, AM is median bisecting side BC at point M.

           II)

           III) AM = 8 cm

Theorem Used:- APOLLONIUS THEOREM-> It states that sum of squares of any two sides of any triangle equals twice the square on half the third side, together wih twice the square on the median bisecting the third side.

Solution:- In ΔABC,

By Apollonius Theorem

=> 290 = 2( 8² + BM²)  [ ∵AB²+AC²=290 ....given]

=> 145 = 64 + BM²

=>BM²=145-64

=>BM²= 81

=>BM=√81

=>BM= 9 cm

BC= 2BM (∵Median AM bisects BC at point M)

   =2×9

   =18 cm

==> Length of BC is 18 cm.

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