Question

Sent by you:cho tam giac IHG có IG=4cm, góc I=60 độ, góc G=50 độ. tính góc H, cạnh IH, GH 

Answer 1

Xét ΔIGH có \(\widehat{I}+\widehat{G}+\widehat{H}=180^0\)

=>\(\widehat{H}=180^0-60^0-50^0=70^0\)

Xét ΔIHG có \(\dfrac{IH}{sinG}=\dfrac{IG}{sinH}=\dfrac{HG}{sinI}\)

=>\(\dfrac{IH}{sin50}=\dfrac{4}{sin70}=\dfrac{HG}{sin60}\)

=>\(IH=4\cdot\dfrac{sin50}{sin70}\simeq3,26\left(cm\right)\); \(HG=4\cdot\dfrac{sin60}{sin70}\simeq3,69\left(cm\right)\)