Interesting

Can the altitude and the median be same for a triangle?

Can the altitude and the median be same for a triangle?

The answer is No. The altitude and median is not the same thing in a triangle. However, in the case of an equilateral triangle, the median and altitude are always the same.

Does altitude bisect angle of triangle?

Altitude of an Isosceles Triangle The isosceles triangle altitude bisects the angle of the vertex and bisects the base. It should be noted that an isosceles triangle is a triangle with two congruent sides and so, the altitude bisects the base and vertex.

How do you prove an altitude is a median?

An altitude connects a vertex of a triangle to the side opposite of the vertex so the angle formed between the two segments is a right angle. If the triangle is isosceles one altitude will be the same as one median, but if the triangle is equilateral all three medians are altitudes.

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Does altitude bisect the angle?

Altitude of an Isosceles Triangle In the isosceles triangle which have two of its sides congruent its altitude bisects the angle of the vertex and bisects the base.

Is the altitude of an isosceles triangle the same as median?

In general, altitudes, medians, and angle bisectors are different segments. In certain triangles, though, they can be the same segments. In Figure , the altitude drawn from the vertex angle of an isosceles triangle can be proven to be a median as well as an angle bisector. Figure 9. The altitude drawn from the vertex angle of an isosceles triangle.

Is the altitude of an angle bisector the same as median?

In general, altitudes, medians, and angle bisectors are different segments. In certain triangles, though, they can be the same segments. In Figure , the altitude drawn from the vertex angle of an isosceles triangle can be proven to be a median as well as an angle bisector. The altitude drawn from the vertex angle of an isosceles triangle.

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Can two isosceles triangles have the same segment?

In certain triangles, though, they can be the same segments. In Figure , the altitude drawn from the vertex angle of an isosceles triangle can be proven to be a median as well as an angle bisector. The altitude drawn from the vertex angle of an isosceles triangle.

Can a triangle have more than one angle bisector?

Probably. As with medians and altitudes, triangles can have three angle bisectors, and they always meet at a single point. In an isosceles triangle, we have one angle bisector that is also a median and an altitude.