Q: How many altitudes does a triangle have?

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A triangle has three altitudes.

no; a triangle must have an obtuse angle if one of its altitudes is outside of the triangle, and in this case 2 of the altitudes are out of the triangle.

Yes, except that with a right angled triangle, two of the altitudes will also be the sides of the triangle.

No. Only 2 altitudes can intersect at a point. * * * * * True but even they do not meet in the interior. The altitudes of a right angles triangle meet at the right angled vertex. The vertex is at the boundary of the triangle, not in the interior.

A triangle only has one altitude which is its perpendicular height.

Related questions

A triangle has three altitudes.

no; a triangle must have an obtuse angle if one of its altitudes is outside of the triangle, and in this case 2 of the altitudes are out of the triangle.

medians-3 altitudes-3

All triangles have three altitudes.

Yes, except that with a right angled triangle, two of the altitudes will also be the sides of the triangle.

the point of concurrency of the altitudes of a triangle is called the orthocenter.

the point of concurrency of the altitudes of a triangle is called the orthocenter.

Obtuse Triangle

Obtuse Triangle

No. Only 2 altitudes can intersect at a point. * * * * * True but even they do not meet in the interior. The altitudes of a right angles triangle meet at the right angled vertex. The vertex is at the boundary of the triangle, not in the interior.

A triangle only has one altitude which is its perpendicular height.

The orthocenter of a triangle is found at the intersection of the three altitudes of the triangle. Obtuse triangles contain altitudes which are found outside of the triangle, meaning their orthocenter must be outside of the triangle as well.