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What are the properties of the various triangles given:
- Isosceles triangles have two sides equal, two angles equal
- Scalene triangles have all three sides different and all three angles different
- Right 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 triangle
If 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 triangle
From the given list, an isosceles triangle could be a right, acute or obtuse triangle, but it could not be a scalene triangle.
What else can I help you with?
Are Isosceles triangles right obtuse and acute?
yes a isosceles triangle has a right,obtuse and acute angle.
Which triangle has two acute angles and one obtuse angle?
If you are classifying triangles by their angles, an obtuse triangle has one obtuse angle and two acute angles. A triangle can have at most one obtuse angle. If the two acute angles are congruent, the triangle would also be isosceles.
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
Does a triangle have a right acute and obtuse angle?
Yes . Triangle have right acute and obtuse angle except compelete angle.
Which triangle angle measures 32 degrees 79 degrees and 69 degrees?
What is a 79 degree of a third angle of a triangle
Different kinds of triangle?
there is equilateral triangle, right triangle, isosceles triangle, obtuse triangle, acute triangle, scalene triangle and oblique triangle
An obtuse triangle is scalene?
Yes, normally it is but it can also be an isosceles triangle if it has an obtuse angle and 2 equal acute angles.
How many angles do a acute isosceles triangle have?
It doesn't matter if a triangle is isosceles, scalene, obtuse, acute... There are always 3 angles in a triangle (which add up to 180).
What are the three different classifications of a triangle?
Equalateral, Isosceles, Scalene; Acute, Obtuse, Right
How many vertices in a scalene triangle?
3 vertices in a triangle, whether it is equilateral, isosceles or scalene; acute angled, right or obtuse.
What has one obtuse angle and two acute angles?
If the 2 acute angles are equal then it is an isosceles triangle otherwise it is a scalene triangle.
Is obtuse triangles scalene?
Yes, normally it is but it can also be an isosceles triangle if it has an obtuse angle and 2 equal acute angles.
Is a triangle with an acute angle scalene right equilateral obtuse isosceles?
It can be any one of the triangles in the list.
What is a triangle called with two acute angles and one obtuse angle?
It can be called obtuse, scalene ( if two acute angles are different ), or isosceles ( if two acute angles are the same ).
Is a triangle an isosceles triangle and why?
A triangle can be an equilateral triangle, an isosceles triangle, a scalene triangle, a right triangle, an acute triange, or an obtuse triangle.See related link below for more info on triangles
What are the six kinds of triangle?
acute angled triangle,right angled triangle,obtuse angled triangle,isosceles triangle,equilateral triangle, scalene triangle
What is the six kinds of triangle?
A scalene triangle, an equilateral triangle, an isosceles triangle and a right-angle triangle, acute-angled triangle, obtuse-angled triangle
