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If $AB = AC$ then BE= ____.

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Detailed Solution

AB = AC

then

BE = CE

.
The sum of angles in a triangle is

180 °

.
If any pair of the interior angles on the same sides of transversal is supplementary then the two sides are parallel.
We have,
Question Image

AB = AC

.
i)

AD = AF

(The lengths of tangents drawn from an external point

A

to the circle are equal)
ii)

BD = BE

(The lengths of tangents drawn from an external point

B

to the circle are equal)
iii)

CF = CE

(The lengths of tangents drawn from an external point

C

to the circle are equal)
iv)

AB = AC

(Given)
Subtracting equation i) from iv),

A B − A D = A C − A F

B D = C F

Substituting equation ii) and iii) in v),

BE = CE

Thus,

BE = CE

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If AB=AC then BE= ____.

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If $AB = AC$ then BE= ____.