Question

if triangle XYZ is an isoceles triangle such that XY=XZ then prove that altitude XT from X bisects YZ

Answer 1

Answer:

Step-by-step explanation:

XYZ is  isosceles

=> XY =XZ and angle XYT=XZT (Angles opposite to equal sides are equal)

Now in XYT and XZT,

XY=XZ

XYT=XZT

XT=TX( Common)

=> XYT is congruent to XZT( SAS Congruence)

=>YT=TZ .  Therefore, XT bisects YZ

:)

Answer 2

Answer:

Step-by-step explanation:

XYZ is  isosceles

=> XY =XZ and angle XYT=XZT (Angles opposite to equal sides are equal)

Now in XYT and XZT,

XY=XZ

XYT=XZT

XT=TX( Common)

=> XYT is congruent to XZT( SAS Congruence)

=>YT=TZ .  Therefore, XT bisects YZ

:)