Question

If altitudes CE and BF of a triangle ABC are equal,then AB= what.
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Answer 1

Answer:

BC

Step-by-step explanation:

CE=BF

ANGLE B=C (ANGLE OPPOSITE TO EQUAL SIDES)

AB=BC ( SIDE OPPOSITE TO EQUAL ANGLE)

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Answer 2

AB = AC

ABC is an isosceles triangle

Step-by-step explanation:

given : altitudes CE and BF of a triangle ABC are equal,

in triangle BFC and CEB

BC= CB (Common)

$\angle BFC = \angle CEB = 90^\circ$

CF= BF given

therefore ,

$\bigtriangleup BFC \cong \bigtriangleup CEB \\\\BF=CE$..(1)

by cpct

similarly consider triangle ABE and ACF

AF = AE by (cpct)...(2)

adding 1 and 2

we get

BF+AF=CE+AE

AB = AC

hence , AB = AC

#Learn more:

E and are respectively  equal dides AB and Al of that BF=CE

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