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What type of triangle can an isosceles triangle be scalene right acute obtuse?
What are the properties of the various triangles given:Isosceles triangles have two sides equal, two angles equalScalene triangles have all three sides different and all three angles differentRight triangles have one angle which is a right angle (90°)acute triangles have all angles less than 90°obtuse triangles have one angle greater than 90°As an isosceles triangle has two sides equal, it cannot be a scale triangle which has all three angles different.For the other three properties, consider:The sum of the angles in a triangle is 180°If one angle is 90°, the other two angles could be: (180° - 90°) / 2 = 45° each - two angles the same→ an isosceles triangle could be a right triangleIf all angles are less than 90°, let one angle be 80°, the other two angles could be: (180° - 80°) / 2 = 50° each - two angles the same→ an isosceles triangle could be an acute triangle(Note that if one angle was 60°, then the other two being equal would be: (180° - 60°) / 2 = 60° each making all three angles the same and the triangle an equilateral triangle)If one angle is greater than 90°, let it be 100°, the other two angles could be: (180° - 100°) / 2 = 40° each - two angles the same→ an isosceles triangle could be an obtuse triangleFrom the given list, an isosceles triangle could be a right, acute or obtuse triangle, but it could not be a scalene triangle.
Does a triangle have a right acute and obtuse angle?
Yes . Triangle have right acute and obtuse angle except compelete angle.
What are three ways to classify a triangles by its angles?
The three kinds of triangles are:right triangle :one of the angles is a right angle (i.e. measures 90 degrees)acute: All of the angles measures less than 90 degrees. A special case of acute isthe equiangular or equilateral triangle in which all angles measure 60 degrees;obtuse: One of the angles measure more than 90 degrees.
How do you classify a triangle by the sizes of there angles?
All triangles have 3 sides and 3 interior angles that add up to 180 degrees and they are classed as follows:- Right angle triangle:a 90 degree angle and 2 acute angles Scalene triangle: 3 acute angles Obtuse triangle: an obtuse angle and 2 acute angles Isosceles triangle: 2 equal base angles and an apex angle Equilateral triangle: 3 equal angles each measuring 60 degrees
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.
