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Median

In Δ ABC, AD ...

Question

Question 28

In $Δ A B C$ , AD is the bisector of $∠ A$ meeting BC at D, $C F ⊥ A B$ and E is the mid-point of AC. Then, median of the triangle is

a) AD
b) BE
c) FC
d) DE

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Solution

As we know, median of a triangle bisects the opposite sides

Here, the median is BE as AE = EC
Median divides the side of a triangle into two equal halves.

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Similar questions

Q. The median AD of

Δ A B C

meets BC at D. The internal bisectors of

∠ A D B

∠ A D C

A B

A C

E

F

respectively. Then

E F

:

A D

is the median of

△ A B C

and bisectors of

∠ A D B

∠ A D C

D E

D F

A B

E

A C

F

E F ∥ B C

Q. Tick (✓) the correct answer
In ∆ABC, AB = AC and AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Then ∆ABC is symmetrical about

(a) AD
(b) BE
(c) CF
(d) none of these

In a $△$ ABC, AB = AC and AD $⊥$ BC, BE $⊥$ AC and CF $⊥$ AB. Then about which of the following is the triangle symmetrical?

△

ABC, AB = AC and AD

⊥

⊥

⊥

AB. Then about which of the following lines is the triangle symmetrical?

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