SOLUTION: Hi am slightly stuck on this question in geometry Given a triangle ABC prove that: abc=4∆R where ∆ is the area of the triangle and R is the radius of the circumci

Question 436544: Hi am slightly stuck on this question in geometry
Given a triangle ABC prove that:
abc=4∆R where ∆ is the area of the triangle and R is the radius of the circumcircle of the triangle
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!

Assume a,b,c are the side lengths opposite vertices A,B,C respectively. From the extended law of sines,

; this implies .

Note that the area of the triangle is equal to . We can substitute to obtain

as desired.
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SOLUTION: Hi am slightly stuck on this question in geometry Given a triangle ABC prove that: abc=4&#8710;R where &#8710; is the area of the triangle and R is the radius of the circumci

SOLUTION: Hi am slightly stuck on this question in geometry Given a triangle ABC prove that: abc=4∆R where ∆ is the area of the triangle and R is the radius of the circumci