Question

BX =1/2ab , by=1/2bc and AB =BC Show that BX=BY using Euclid axioms.


Plzz fast i have exam

Answer 1

AB/BC
{SINCE AB =BC}
AB/AC=1
BY USING EUCLID AXIOM
A=BQ+R
AB=1*BC+0
2BX=1*2BY+0{SINCE AB=1/2BX AND BC=1/2BY}
2BX=2BY
BX=BY

HENCE PROVED

Answer 2

Step-by-step explanation:

Given:

$BX = \frac{1}{2} AB \: ---(1)$

$BY = \frac{1}{2} BC \: ---(2)\:and \\AB = AC \:---(3)$

Proof:

$AB = AC \: [Form \:(3) ]$

$\frac{1}{2} AB = \frac{1}{2} AC$

$\pink { (Things \:which \:are \: halves \:of \:the\:same}$

$\pink {things \:are \: equal \:to \:one \: another) }$

$\implies BX = BY \: [From \: (1) \:and \:(2) ]$

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