dollar 15 w 100 Solutiongiven a 8 b 10 c 12 use heron for

Solution

given a = 8 , b= 10 , c= 12

use heron formula
A=sqrt[s(s-a)(s-b)(s-c)]
s= (8+10+12)/2
s=30/2
s=15
A=sqrt[15(15-8)(15-10)(15- 12)]
A=sqrt[15(7)(5)(3)]
A=sqrt(1575)= 39.68626966
A=2.99 or 3.00

--------------------------

area of triangle = SQRT(s(s-a)(s-b)(s-c)) where s = sum of the sides/2

=> s = (128 + 146 + 184)/2 = 229

s - a = 229 - 128 = 101
s-b = 229 - 146 = 83
s-c = 229 - 184 = 45

A = SQRT(229*101*83*45)===> 9294.45076376

= 8277.7

so value of plot = 8277.7 *20

= $ 165554