Q: Are the medians always inside a right triangle?

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The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)

No. Not if the triangle is right angled (the intersection is AT the right vertex) or obtuse angled (intersection outside).

The three angles inside any triangle always add up to 180 degrees.If one of them is 90 degrees, then the triangle is a right triangle.

The three angles inside EVERY triangle ALWAYS add up to 180 degrees.In an isosceles right triangle, the angles are 45Â°, 45Â°, and 90Â°.

No. An isosceles right triangle is a special case. There are many right triangles which are not isosceles.

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The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)

The answer depends on what point of concurrency you are referring to. There are four segments you could be talking about in triangles. They intersect in different places in different triangles. Medians--segments from a vertex to the midpoint of the opposite side. In acute, right and obtuse triangles, the point of concurrency of the medians (centroid) is inside the triangle. Altitudes--perpendicular segments from a vertex to a line containing the opposite side. In an acute triangle, the point of concurrency of the altitudes (orthocenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Perpendicular bisectors of sides--segments perpendicular to each side of the triangle that bisect each side. In an acute triangle, the point of concurrency of the perpendicular bisectors (circumcenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Angle bisectors--segments from a vertex to the opposite side that bisect the angles at the vertices. In acute, right and obtuse triangles, the point of concurrency of the angle bisectors (incenter) is inside the triangle.

No. Not if the triangle is right angled (the intersection is AT the right vertex) or obtuse angled (intersection outside).

The three angles inside any triangle always add up to 180 degrees.If one of them is 90 degrees, then the triangle is a right triangle.

The three angles inside EVERY triangle ALWAYS add up to 180 degrees.In an isosceles right triangle, the angles are 45Â°, 45Â°, and 90Â°.

no

An isosceles triangle consists of a 90 degree angle and two 45 degree angles

It can be but need not always be.

In a obtuse triangle, the point of concurrency, where multiple lines meet, of the altitudes, called the orthocenter, is outside the triangle. In a right angle, the orthocenter lies on the vertex (corner) of the right angle. In an acute angle, the orthocenter lies inside the triangle.

No. An isosceles right triangle is a special case. There are many right triangles which are not isosceles.

As with any triangle, inside the triangle.

Never but an isosceles triangle can sometimes be a right angle triangle