Question

the side of a triangle are 42cm,34cm and 20 cm . calculate its area and the length of the height on the longest side

Answer 1

s = (42+34+20) / 2 = 48
s-a = 48-42 = 6
s-b = 48-34 = 14
s-c = 48-20 = 28

Area of Triangle by Heron's Formula = $\sqrt{s(s-a)(s-b)(s-c)}$
Area = $\sqrt{48*6*14*28}$
Area = $\sqrt{112896}$
Area = 336cm$^{2}$