AD为三角形ABC内角A的角平分线,AB=3,AC=5,角BAC=120°,求AD
问题描述:
AD为三角形ABC内角A的角平分线,AB=3,AC=5,角BAC=120°,求AD
答
AD为三角形ABC内角A的角平分线,AB=3,AC=5,角BAC=120°∠BAD=∠CAD=60°利用面积s△ABD+s△ACD=s△ABC(AB·ADsin∠BAD)/2+(AC·ADsin∠CAD)/2=(AB·ACsin∠BAC)/2即(3ADsin60°)/2+(5ADsin60°)/2=(3*5sin...