Question

Find the area of the triangle whose sides are 42 cm, 34 cm, and 20 cm in length . hence , find the height corresponding to the longest side.

Answer 1

Here, a=42cm, b=34cm, c=20cm
Area= root over (s x (s-a) x (s-b) x (s-c)) where s is semi perimeter i.e perimeter/2
         =root over(48 x 6 x14 x 28)=336 sq.cm
Area is also equal to (1/2)bcsinA =(1/2)(34)(20)(h/a)
                        draw a diagram to understand
                                                         (17)(20)(h/42)=336
                                                               h=41.37cm