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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
Answer & Solution
Correct Answer:
Option
D
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
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
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