amaths
2007-03-01 7:22 am
In triangle ABC , bsinB = csinC , what kind of triangle is triangle ABC?
回答 (2)
2007-03-01 7:47 am
✔ 最佳答案
By Sine Formula, we havesin B/b = sin C/c
sin B/sin C = b/c
Given that b sin B = c sin C. We have sin B/sin C = c/b.
So b/c = c/b.
b^2 = c^2
Because b and c are positive, we have
b = c.
Therefore, triangle ABC is an isoscles triangle.
2007-03-01 7:43 am
bsinB=csinC------1
根據sine law,
b/sinB=c/sinC
b=csinB/sinC------2
把2代入1中,
c(sinB)^2=c(sinC)^2
所以角B=角C~
triangle ABC is a isosceles triangle
根據sine law,
b/sinB=c/sinC
b=csinB/sinC------2
把2代入1中,
c(sinB)^2=c(sinC)^2
所以角B=角C~
triangle ABC is a isosceles triangle
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