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Q: What median of an isosceles triangle is the same segment in the triangle as the leg bisector hypotenuse altitude?

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An isosceles or an equilateral triangle perhaps?

Only a right triangle has a hypotenuse. An isosceles triangle can be a right triangle but it doesn't have to be. If it's not, then it doesn't have a hypotenuse.

Yes, provided that the base is not one of the 2 equal sides. And it's also the perpendicular bisector of the base.

-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.

thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)

Yes. If you have an isosceles triangle standing up on the unequal side, thenthe line segment from the top vertex perpendicular to the base is all of these.

The altitude line is perpendicular to the base and bisects the apex of the isosceles triangle.

any isosceles triangle

No.

Yes - the altitude of an equilateral triangle is perpendicular to the side chosen as the base and bisects that side and the opposite angle. Also, the altitude of an isosceles triangle when measured from the third side (the side that is not equal to the other two sides) is a perpendicular bisector of the base and also bisects the opposite angle.

Yes if the isosceles triangle is a right isosceles triangle because that leg opposite the hypotenuse is the height

Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.

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