# What will be the Length of BC? If

If in a triangle ABC, BE and CF are two median perpendicular to each other and if AB = 19 cm and AC = 22 cm then the length of BC is:

- 20.5 cm
- 19.5 cm
- 13 cm
- 26 cm

here symbol are changed keep in mind

Apply Pythagoras theorem to find x ,y and AB=c in their respective triangle ∆APB’ , ∆A’PB and ∆APB

(2x)^{2}+y^{2}=9.5^{2} …………1

X^{2}+(2y)^{2}=11^{2} ……………..2

After calculating

X=4 and y=√26.25

Then you solve for AB=√(2x)^{2}+(2y)^{2} =13 cm