If a point C lies between two points A and B such that`A C=B C`, then prove that `A C=1/2A B`. Explain by drawing the figure.

Similar Questions

Explore conceptually related problems

If a point C lies between two points A and B such that AC = BC, then prove that AC=(1)/(2)AB . Explain by drawing the figure.

If A. B and C are three points on a line, and B lies between A and C then prove that A B+B C=A C .

If A, B and C are three poins on a line and B lies between A and C, then prove that AB + BC = AC.

In A B C , if B D_|_A C and B C^2=2\ A C C D , then prove that A B=A C .

If D is the mid-point of the hypotenuse A C of a right triangle A B C , prove that B D=1/2A C

A ,\ B ,\ C ,\ D are four consecutive points on a circle such that A B=C Ddot Prove that A C=B D

In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddot Prove that B C > C D

In Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D=E Cdot Prove that A B=A C

In Figure, P , is any point on the chord B C of a circle such that A B=A P . Prove that C P=C Q .

In Figure, B D and C E are two altitudes of a A B C such that B D=C Edot Prove that A B C is isosceles.