There are three sides and all internal angles add up to 180 degrees
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An equilateral triangle. * * * * * An isosceles triangle.
An isosceles triangle is a triangle that has two sides of equal length.
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.
Equilateral Triangle
A triangle with two equal sides and two equal angles is called an isosceles triangle.