Table of Contents
Can you draw an obtuse isosceles triangle?
An obtuse triangle has one angle measuring more than 90º but less than 180º (an obtuse angle). It is not possible to draw a triangle with more than one obtuse angle. It may be acute, obtuse, equiangular, scalene, isosceles, or equilateral, but not a right triangle.
Can an obtuse triangle be equilateral?
Since an equilateral triangle has equal sides and angles, each angle measures 60°, which is acute. Therefore, an equilateral angle can never be obtuse-angled. A triangle cannot be right-angled and obtuse angled at the same time.
Can an obtuse triangle have 2 congruent sides?
A triangle that has one obtuse angle is called an obtuse triangle. When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.
Can a triangle be obtuse?
An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.
Can you draw an obtuse angle triangle?
So, we cannot draw any triangle. An obtuse – angled equilateral triangle means any one angle of a triangle is obtuse and the side adjacent to the angle is equal.
What is an isosceles obtuse?
An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90 degrees and 180 degrees) and the other two acute angles are equal in measurement.
Is it possible to draw an obtuse isosceles triangle is it possible to draw obtuse equilateral triangle explain your answer for each?
It is impossible to create an obtuse equilateral triangle. The word ‘equilateral’ means equal sides.
Can an equilateral triangle be isosceles?
An isosceles triangle therefore has both two equal sides and two equal angles. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal.
Are obtuse triangles always isosceles?
it is more than 90 degrees. An obtuse triangle may be isosceles or scalene. each one is less than 90 degrees. An acute triangle may be equilateral, isosceles, or scalene.
Can acute and obtuse triangle congruent?
Explanation: Two triangles are only congruent if all of their sides are the same length, and all of the corresponding angles are of the same degree. They’re all in the same position relative to each other on the triangle, so that is enough information to say that the two triangles are congruent.
What kind of triangle has 3 congruent sides?
Equilateral triangle: three congruent sides and three congruent angles (three sides of equal length and three angles of equal measure).
Can an isosceles triangle have two obtuse angles?
An isosceles triangle can have only one obtuse angle. In fact, any triangle can have at most one obtuse angle. Suppose we have a triangle △ABC △ A B C that has two obtuse angles, say <∠A,∠B>90∘.
Is an isosceles triangle acute obtuse or right?
Every isosceles triangle has an axis of symmetry along the perpendicular bisector of its base. The two angles opposite the legs are equal and are always acute, so the classification of the triangle as acute, right, or obtuse depends only on the angle between its two legs.
How do you know if a triangle is obtuse?
You can calculate an obtuse triangle using the lengths of the triangle’s sides. Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together. For example, if the lengths of the sides measure 3 and 2, then squaring them would result in 9 and 4.
Can you have an acute isosceles triangle?
By definition, an acute isosceles triangle will have at least two sides (and at least two corresponding angles) that are congruent, and no angle will be greater than . Addtionally, like all triangles, the three angles will sum to .
What type of triangle can an isosceles triangle be?
Triangle.
Can a triangle have two obtuse angles?
We have the property that the sum of the angles of a triangle is always 180∘ . Obtuse angle is an angle which has magnitude more than 90∘ . So adding that two angles only we will get 180∘ or more than that. Hence having two angle obtuse, construction of a triangle is not at all possible.
Can a scalene triangle be isosceles?
Explanation: Isosceles triangles has two equal sides, and two equal angles. Scalene triangles cannot have equal sides, nor equal angles. That means that isosceles triangles never can be scalene.
What are the rules for an isosceles triangle?
The rule for an isosceles triangle is that the triangle must have two sides of equal length. These two sides are called the legs of the triangle and the unequal side is called the base. The isosceles triangle theorem further states that the angles opposite to each of the equal sides must also be equal.
Is an obtuse triangle always acute?
An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It’s impossible for a triangle to have more than one obtuse angle.
Can an obtuse triangle be similar to an acute?
If two triangles are congruent, then they are similar. An obtuse triangle is similar to an acute triangle.
Can two obtuse triangles be similar?
The included angles must be congruent, and the ratios of the two corresponding sides must be equal. If both criteria are satisfied, then the triangles are similar. In this problem, there is a shared angle, making it equal for the two triangles.
Can an obtuse triangle be regular explain why or why not?
Answer and Explanation: An obtuse triangle can never be regular. Since the measures of all three angles of any triangle equal 180 degrees when added together, we can tell that an obtuse triangle cannot ever be a regular triangle.
What is a triangle with no sides the same called?
Scalene. A scalene triangle has three different angles and none of its sides are equal in length.
Is it possible to construct a triangle with side lengths 35 23 and 62?
ANSWER: Yes; Find the range for the measure of the third side of a triangle given the measures of two sides.
What types of triangles can have an obtuse angle?
Isosceles and scalene triangles can be classified as obtuse triangles because they might have obtuse angles.
Why can an isosceles triangle be obtuse?
Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of degrees. Since this is an obtuse isosceles triangle, the two missing angles must be acute angles.
