Answer :

Let a, b and c are the sides of triangle and s is the semi-perimeter, then its area is given by:

A = where [Heron’s Formula]

= = 75

A =

A = = cm^{2}

Altitude on side 35 cm:

Area of triangle =

939.15 =

Altitude = 53.66 cm

Altitude on side 54 cm:

Area of triangle =

939.15 =

Altitude = 34.78 cm

Altitude on side 61 cm:

Area of triangle =

939.15 =

Altitude = 30.79 cm

Therefore smallest Altitude is: 30.79 cm

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