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Will perpendicular bisectors that originate at the base of isosceles triangles pass through the vertex of the triangle?
Wiki User
∙ 13y ago
Yes.
Wiki User
∙ 13y ago
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How many perpendicular bisectors does an equilateral triangle have?
Equilateral triangles have 3 perpendicular bisectors
Is an altitude always sometimes or never an angle bisector?
sometimes, the altitude of isosceles triangles resting on their base and equilateral triangles are angle bisectors
Does a square based pyramid have a perpendicular?
Yes. They have perpendicular bisectors in the four triangles that make up four of the five sides of a square-based pyramid
What can isosceles triangles be used in?
Isosceles triangles can be used in domes
For what kinds of triangles can the perpendicular bisector of a side also be an angle bisector of the angle opposite the side?
Every isosceles or equilateral triangle.
How many perpendicular bisectors does an equilateral triangle have?
Equilateral triangles have 3 perpendicular bisectors
Are perpendicular bisectors in triangles lines?
Yes
How many perpendicular bisectors do scalene triangles have?
3
What is the name of the point at which all of a triangles perpendicular bisectors intersect?
It's the circumcenter.
Is an altitude always sometimes or never an angle bisector?
sometimes, the altitude of isosceles triangles resting on their base and equilateral triangles are angle bisectors
Does a square based pyramid have a perpendicular?
Yes. They have perpendicular bisectors in the four triangles that make up four of the five sides of a square-based pyramid
Some equilateral triangles are not isosceles?
All isosceles triangles are not equilateral triangles
Are some isosceles triangles equilateral triangles?
All isosceles triangles are not equilateral triangles
Is it true that the perpendicular bisector of the base of an isosceles triangle splits the triangle into two congruent triangles?
Yes, it is true.
What can isosceles triangles be used in?
Isosceles triangles can be used in domes
How do you draw an isosceles right triangle?
An isosceles right triangle is a 45° 45° 90° triangle. If you know how to construct a right angle (two lines that are perpendicular), then just take a compass, with the point on the intersection of the perpendicular lines, and mark the same distance on each of the perpendicular lines, then use a straight edge to connect those two points. Or, if you have a square, you can connect two of opposite corners with a diagonal and you will have 2 triangles, both of them isosceles right triangles.
Name all types of triangles for which the point of concurrency is inside the triangle?
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.
