Triangles Questions

△XYZ 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?

The lengths of the three sides of a triangle are given as 3cm, 4cm and 5cm. The ratio of their corresponding altitudes to the opposite vertices will be:

In △ABC, AB=9cm and AC=13cm, then the length of BC could be:

In △ABC and △PQR, we are given ∠A=∠P and AC=PR.
Which of the following options needs to be satisfied for △PQR and △ABC to be congruent?

The median AD of a triangle ABC is produced and a perpendicular CF is dropped on it. BE is perpendicular to AD. If BC=34cm and DF=8cm, what is the length (in cm) of BE?