题目内容
等腰三角形的两个角的比为2 :3,试求此三角形的顶角与底角的弧度数.
顶角与底角分别为或,
设顶角为α,底角为β
(1)若α:β="2" :3,设α="2k," β=3k,
∵α+2β=π,即2k+6k=π,∴
∴
即顶角与底角分别为
(2)若β:α="2" :3,设α="3k," β=2k,
∵α+2β=π,即3k+3k=π,∴
∴α=,β=
∴顶角与底角分别为,
(1)若α:β="2" :3,设α="2k," β=3k,
∵α+2β=π,即2k+6k=π,∴
∴
即顶角与底角分别为
(2)若β:α="2" :3,设α="3k," β=2k,
∵α+2β=π,即3k+3k=π,∴
∴α=,β=
∴顶角与底角分别为,
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