The coordinates of the three points
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The coordinates of the three points A.B.C on the plane are (-5,-5),(-2,-1)and(-1,-2)respectively,the triangle ABC is( )
(英汉小词典:right直角的;isosceles等腰的;equilateral等边的;obtuse钝角的)
A. a right trisngle
B. an isosceles triangle
C. an equilateral triangle
D. an obtuse triangle
(英汉小词典:right直角的;isosceles等腰的;equilateral等边的;obtuse钝角的)
A. a right trisngle
B. an isosceles triangle
C. an equilateral triangle
D. an obtuse triangle
如图过B作Y轴的平行线,过A作X轴的平行线,两线交于H,由勾股定理得:AB2=[(-2)-(-5)]2+[(-1)-(-5)]2,
即:AB2=25
同理:AC2=[(-1)-(-5)]2+[(-2)-(-5)]2,即:AC2=25,
BC2=[(-1)-(-2)]2+[(-1)-(-2)]2,BC2=2,
∴AB=AC.
故选B.
即:AB2=25
同理:AC2=[(-1)-(-5)]2+[(-2)-(-5)]2,即:AC2=25,
BC2=[(-1)-(-2)]2+[(-1)-(-2)]2,BC2=2,
∴AB=AC.
故选B.
The coordinates of the three points
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