Without using the distance formula show that the points A(4,-2),B(-4,4

1.	Without using the distance formula show that the points A(4,-2),B(-4,4) and C(10,6) are the vertices of a right angled triangle
Answer» SLOPE=(y2-y1)/(x2-x1) slope of AB=(4-(-2))/(-4-4)=-(6/8)=-(3/4) slope of BC=(6-(4))/(10-(-4))=(2/14)=(1/7) slope of CA=(-2-6)/(4-10)=(8/6)=(4/3) slope of AB * slope of CA=-(3/4)*(4/3)=-1 so AB is perpendicular to CA thus,ABC are the vertices of a right ANGLED triangle.

Without using the distance formula show that the points A(4,-2),B(-4,4) and C(10,6) are the vertices of a right angled triangle

Answer»

SLOPE=(y2-y1)/(x2-x1)

slope of AB=(4-(-2))/(-4-4)=-(6/8)=-(3/4)

slope of BC=(6-(4))/(10-(-4))=(2/14)=(1/7)

slope of CA=(-2-6)/(4-10)=(8/6)=(4/3)

slope of AB * slope of CA=-(3/4)*(4/3)=-1

so AB is perpendicular to CA

thus,ABC are the vertices of a right ANGLED triangle.

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Without using the distance formula show that the points A(4,-2),B(-4,4) and C(10,6) are the vertices of a right angled triangle

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