Question

In circle A, ZBAE = ZDAE.

What is the length of BE?
O
O
14 units
17 units
27 units
34 units
V
3x-24

Answer 1

Answer is C

Explanation:

edge 2021

Answer 2

Incomplete question the complete question with the diagram is given below.

Answer:

The Correct option is second one 17 units.

Therefore the Length of BE is 17 units.

Explanation:

Given:

∠BAE = ∠DAE

BE = 3x - 24

DE = x + 10

To Find :

Length of BE = ?

Solution:

∠BAE = ∠DAE .........Given:

As Chords that subtend congruent angles are congruent. That is equal angles subtends equal chords.

So , the chord BE and DE are equal

Substituting the values we get

`BE=DE\\3x-24=x+10\\2x=34\\\\x=(34)/(2)=17\\\\x=17\ units`

Therefore the Length of BE is 17 units.