Mathematics
Senior High

Aを求める

Answers

余弦定理【cosA={b²+c²-a²}/{2bc}】を利用します

(1)cosA={(2)²+(5√3)²-(7)²}/{2(2)(5√3)}=30/20√3=√3/2

  cosA=√3/2,0<A<180 より、A=60°

(2)cosA={(1)²+(3√2)²-(5)²}/{2(1)(3√2)}=-6/6√2=-√2/2

  cosA=-√2/2,0<A<180 より、A=135°

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