Math, asked by devashreekadu18103, 10 months ago

If AB ^2 + BC ^2 =290cm^2,
AM=8cm,find BC. Figure is sent down

Answers

Answered by NidhiWarde26
1

Answer:

Step-by-step explanation:

In ∆ABC

AM is the median

BM=MC

AB^2+BC^2=290

AM=8 , BC=?

By apollinius Therom

AB^2+BC^2=2AM^2+2BM^2

290=2×(8)^2+2BM^2

290=2×64+2BM^2

290=128+2BM^2

290-128=2BM^2

162=2BM^2

162/2=BM^2

81=BM^2

Taking square root

BM=9

BM=MC

MC=9

B-M-C

BC=BM+MC

=9+9

BC=18

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