Question

∆ABC के शीर्ष बिन्दुA(5,1) B(1,5) C(-3,-1)हैं माध्यिका AD की लम्बाई ज्ञात कीजिए​

Answer 1

Step-by-step explanation:

AD is median,

Therefore, D is the mid point of BC.

By mid point formula:

$D = ( \frac{1 - 3}{2} , \: \frac{5 - 1}{2} ) = ( - 1, \: 2) \\ length \: of \: median \: AD \: is \: \: the\\ distance \: between \: points \: \: A \: \\ and \: D. \\ therefore \\ l(AD) = \sqrt{ ({x1 - {x2})^{2} } + ({y1 - {y2})^{2} } } \\ = \sqrt{ ({5 + 1)^{2} } + ({1 - 2)^{2} } } \\ = \sqrt{36 + 1} = \sqrt{37} \: units$