Question

in figure ,we have BX=1/2AB ,BY=1/2BC and AB=AC .show that BX=BY.

Answer 1

since AB=AC
AB/AC=1
BY USING EUCLID AXIOM
A=BQ+R
AB=1×BC+0
2BX=1×2BY+0(AB=1/2BX AND BC=1/2BX)
2BX=2BY
BX=BY
HENCE PROVED