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ABC is an isosceles triangle in which...

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.

A

`angle B = angle C`

B

`angle BAE = angle FAC`

C

`angle AFC = angle AEB`

D

BE = CF

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • In the adjoining figure, ABC is an isosceles triangle in which AB=AC. If E and F be the midpoints of AC and AB respectively, then

    A
    BE=CF
    B
    `angle BFC=angle CEB`
    C
    BF=CE
    D
    All of these

  • In the adjoining figure, ABC is an isosceles triangle in which AB = AC. If E and F be the midpoints of AC and AB respectively, then

    A
    BE = CF
    B
    `angleBFC=angleCEB`
    C
    BF = CE
    D
    All of these

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