Question

Two sides of a triangle are 0.5 cm and 3 cm. The third side of the triangle is integral unit. A median is drawn from the common point of side 0.5 cm and 3cm to the third side. Find the length of the median

Answer 1

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YOUR ANSWER IS

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