Question

the sides of a triangle are 50 cm,78cm,112cm.whatis the smallest altitude

Answer 1

Let
a = 50cm
b = 78cm
c = 112

S = a+b+c/2 

S = 50+78+112/2

S = 240/2 = 120

Area = 

  = 

  =

  = 1680

Longest side = 120cm
corresponding to this side as the base the altitude will be smallest.

area =1/2 x base x altitude

=1680 = 1/2 x 112 x altitude

=altitude = 1680 x 2/112  

= 30cm 



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