Question

in triangle XYZ, XY=YZ and, YM is the median, show that triangle YMX is congruent triangle YMZ step by step explanation​

Answer 1

Answer:

XYZ, XY=YZ and, YM is the median, show that triangle YMX is congruent triangle YMZ step by ste

Answer 2

$\bf{\red{\underbrace{\underline{QUESTION}}}}$

$\bullet$ In triangle XYZ, XY=YZ and, YM is the median, show that triangle YMX is congruent triangle YMZ step by step explanation.

$\bf{\green{\underbrace{\underline{ANSWER}}}}$

$\bullet \boxed{HERE}$

$\implies \bf{XY\:=\:YZ}$ [ given ]

$\implies$ YM $\perp$ XZ $\longrightarrow (1)$

$\therefore$

$\implies$ XM = ZM [ $\because$ YM is median ] $\longrightarrow (2)$

$\implies$ YM is common side

$\implies$ XY = YZ [ given ]

$\therefore SOLUTION\::-$

$\implies \angle YMX \: = \angle YMZ$ [ from ( 1 ) ]

$\implies XM \:=\:ZM$ [ from ( 2 ) ]

$\implies XY\:=\:YZ$ $given$

$\therefore ∆YMX \cong ∆YMZ$ ( SSS congruency )

$\boxed{\boxed{PROVED}}$