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If the altitudes from two vertices of ...

If the altitudes from two vertices of a triangle to the opposite sides are equal, prove that the triangle is isosceles.
In`/_\ABE \and\ /_\ACF /_AEB=/_AFC (90^0each)`
`/_BAE=/_CAF`(common angle)
`/_ABE=/_ACF` using angle sum property
`BE=CF,/_\ABE~=/_\ACF`
`=> AB=AC`
Hence triangle ABC is an isosceles tangent as two sides are equal to each other

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In`/_\ABE \and\ /_\ACF,/_AEB=/_AFC(90^0each)`
`/_BAE=/_CAF`(common angle)
`/_ABE=/_ACF`using angle sum property
`BE=CF,/_\ABE~=/_\ACF`
`=> AB=AC`
Hence triangle ABC is an isosceles tangent as two sides are equal to each other
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