त्रिभुज की माध्यिका

TriBhuj Ki माध्यिका

Gk Exams at  2020-10-15

Pradeep Chawla on 20-10-2018

A median of a triangle is a cevian of the triangle that joins one vertex to the midpoint of the opposite side.



In the following figure, AM is a median of triangle ABC.

Median.PNG



Each triangle has 3 medians. The medians are concurrent at the centroid. The centroid divides the medians (segments) in a 2:1 ratio.

Stewarts Theorem applied to the case m=n, gives the length of the median to side BC equal to

frac 12 sqrt{2AB^2+2AC^2-BC^2}

This formula is particularly useful when angle CAB is right, as by the Pythagorean Theorem we find that BM=AM=CM.



Comments Lokesh kumar on 12-05-2019

एक त्रिबूज कि तीन बुजाए क्रमश 12 ,16 ,18 ह त्रिबूज की सबसे छोटी माध्यका की लंबाई ज्ञात करो

kokil on 28-11-2018

nice

anup raj on 14-08-2018

16 और 25 की माधयीका क्या होगी



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