Q8 of 50 Page 13

A triangle has sides 35 cm, 54 cm and 61 cm long. Find its area. Also, find the smallest of its altitudes.

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 = = cm2


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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