If one angle of a triangle be 60 &#x2218;<!-- ∘ --> </msup> , </math, the area

Amber Quinn

Amber Quinn

Answered question

2022-06-14

MathJax(?): Can't find handler for document MathJax(?): Can't find handler for document If one angle of a triangle be 60 , 10 3 Let A = 60 and 1 2 b c sin A = 10 3 bc=40,a+b+c=20
2 R sin A + 2 R sin B + 2 R sin C = 20
I am stuck here.

Answer & Explanation

Abigail Palmer

Abigail Palmer

Beginner2022-06-15Added 30 answers

You have ( b + c ) 2 = ( 20 a ) 2 </math and so b 2 + c 2 b c = a 2 40 a + 400 120</math. But by the cosine formula that is a 2 </math, so you have 40a=280 and hence a=7, so b+c=13,bc=40. Hence b,c=5,8.

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