SOLUTION: Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 48, b = 30 ft, c = 14 ft Show your work please so

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Question 1091484: Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
A = 48, b = 30 ft, c = 14 ft

Show your work please so I can understand.
Found 3 solutions by rothauserc, MathTherapy, ikleyn:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
using the law of cosines
:
A^2 = 30^2 + 14^2 - 30 * 14 * cos(48) = 814.9651
:
A = square root(814.9651) = 28.5476
:
perimeter of triangle(P) = 30 + 14 + 28.5476 = 72.5476
:
using Heron's formula for the area of a triangle
:
s = P/2 = 72.5476 / 2 = 36.2738
:
Area of triangle = square root( 36.2738 * (36.2738 - 30) * (36.2738 - 14) * (36.2738 - 28.5476) ) = 197.8983
:
****************************************************
Area of triangle = 197.90 square feet
****************************************************
:

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
A = 48, b = 30 ft, c = 14 ft

Show your work please so I can understand. 
Area of non-right triangle, with 2 KNOWN sides and an INCLUDED angle: 

Calculate that and you should get: 

Someone responded by writing a "novel" of a solution and got an answer of 197.9.

Just to let you know, and if you haven't noticed by now, this is INCORRECT/WRONG/RIDICULOUS, etc., 

and should be TOTALLY IGNORED, along with the written "novel." 

Answer by ikleyn(52818)   (Show Source): You can put this solution on YOUR website!
 .

You are given a triangle by its two sides lengths and the angle between them.





Apply the formula for a triangle area 





S = =  =  = 156 ft^2.





That's all.







 

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