ΔXYZ is an isosceles triangle such that XY = XZ. It is given that YS ⊥ XZ and ZT ⊥ XY. What is the relation between YS and ZT?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. YS = ZT.
In isosceles triangle ΔXYZ with XY = XZ:
YS ⊥ XZ
ZT ⊥ XY
Since XY = XZ and both perpendiculars are drawn from equal angles to equal sides,
YS = ZT (equal altitudes from equal angles to equal sides)