If a piece of sheet metals with lengths 10 in., 13 in., and 14 in. weighs 1.7 ounces per square inch, how much does the triangle weigh?
+23254 We need to find the area. Given three sides, we can use Heron's formula:
Area = √[ s·(s - a)·(s - b)·(s - c) ] where the semiperimeter s = (a + b + c) / 2
a = 10 b = 13 c = 14
---> s = (10 + 13 + 14) / 2 = 18.5
---> Area = √[ 18.5·(18.5 - 10)·(18.5 - 13)·(18.5 - 14) ] = 62.4
---> Weight = 62.4 x 1.7 = 106 ounces
+23254 We need to find the area. Given three sides, we can use Heron's formula:
Area = √[ s·(s - a)·(s - b)·(s - c) ] where the semiperimeter s = (a + b + c) / 2
a = 10 b = 13 c = 14
---> s = (10 + 13 + 14) / 2 = 18.5
---> Area = √[ 18.5·(18.5 - 10)·(18.5 - 13)·(18.5 - 14) ] = 62.4
---> Weight = 62.4 x 1.7 = 106 ounces
