If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB = 19 cm and AC = 22 cm then the length of BC is
A. 20.5 cm
B. 19.5 cm
C. 26 cm
D. 13 cm
Answer: Option D
Solution(By Examveda Team)
Given
AB = 19 cm, AC = 22 cm,
∵ BE ⊥ CF (Given), [Medians CF & BE are perpendicular to each other]
In this case
We know,
AB2 + AC2 = 5(BC)2
⇒ (19)2 + (22)2 = 5(BC)2
⇒ 361 + 484 = 5(BC)2
⇒ 845 = 5(BC)2
⇒ (BC)2 = 169
⇒ BC = 13 cm
This Question Belongs to Arithmetic Ability >> Geometry
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