Two sides of a traingle are 0.5 and 3 cm . Third side of traingle is integral unit . A median is drawn from the common point if side 0.5 to 3 cm to the third side. Find the length of the median.
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The sum of opposite sides of a △le is always greater than 3rd side.
∴BC<AB+AC
andAB+BC>AC
⟹BC>AC−AB
∴AC−AB<BC<AB+AC
3−0.5<BC<3+0.5implies2.5<BC<3.5
As,thelengthofBCisintegralvalue.
∴BC=3cm
∴a=3cm,b=3cmandc=0.5cm
∴lengthofmedianfromvertexA
mo=
4
2b
2
+2c
2
−a
2
=
4
2×3
2
+2(0.5)
2
−3
2
=1.54cm
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