A triangular flower garden measure 10m, 15m and 24m. find the area of the garden

2 answers

well, there is an easy way but it is not commonly used, Huron's fomula.
if s = (1/2) (a+b+c)
then Area = sqrt [ s (s-a)(s-b)(s-c) ]
s = (1/2)(49) = 49/2
s-a = 49/2 - 20/2= 29/2
s-b = 49/2 - 30/2 = 19/2
s-c = 49/2 - 48/2 = 1/2
product = (1/16)( 26999)
sqrt of product = (1/4)(164.3)
= 41.08