SOLUTION: Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 123 c = 207

Algebra ->  Triangles -> SOLUTION: Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 123 c = 207      Log On


   

Question 1091404: Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle.
a = 240
b = 123
c = 207
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Each length is less than the sum of the other two sides and greater than the difference of the two other sides.
Yes, this can make a triangle.
Area is sqrt (s(s-a)(s-b)(s-c) where s=(1/2)(a+b+c)=(1/2)(570)=285
A=sqrt(285*45*162*78)=12,730.1 sq units.

Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
.
On Heron's formula see the lessons
    - Proof of the Heron's formula for the area of a triangle,
    - One more proof of the Heron's formula for the area of a triangle,
in this site.


Also,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lessons are the part of this online textbook under the topic  "Area of triangles ".