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In one triangle, there can only be one angle greater than 90 degrees. With that restriction,
then the other two angles split the remaining 90 degrees between them. If the split is even,
then the triangle is isosceles. There's nothing mysterious or special about it.
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Does an isosceles triangle have a angle greater than 90?
It can. An example of an isosceles triangle without any angles greater than 90 would be an equilateral triangle, with all angles equalling 60 degrees. An example with an angle greater than 90 would be a triangle with angles of 100 degrees, 40 degrees and 40 degrees. You couldn't have an isosceles triangle with 2 angles greater than or equal to 90, as all the angles sum to 180 degrees.
How many obtuse angles could an isosceles triangle have?
An Isosceles Triangle is a triangle with all angles less than 90o So there are no obtuse angles (between 90o to 180o).
When two angles of a triangle are equal than the triangle is called?
An isosceles triangle
Can an obstuse triangle also be isosceles?
No, an obtuse triangle cannot be isosceles. An isosceles triangle has two sides that are equal in length, but in an obtuse triangle, the angles are all greater than 90 degrees. Therefore, the sides cannot be equal in length.
Has an isosceles triangle have an obtuse angle?
Not necessarily. The two equal angles in an isosceles triangle must both be acute angles. If they were right angles or obtuse angles then a triangle could not be formed. If the two equal angles are less than 45° each then the third angle is an obtuse angle. If they are both 45° then the third angle is a right angle and if they are both greater than 45° then the third angle is an acute angle.
Does an isosceles triangle have a angle greater than 90?
It can. An example of an isosceles triangle without any angles greater than 90 would be an equilateral triangle, with all angles equalling 60 degrees. An example with an angle greater than 90 would be a triangle with angles of 100 degrees, 40 degrees and 40 degrees. You couldn't have an isosceles triangle with 2 angles greater than or equal to 90, as all the angles sum to 180 degrees.
What is the maximum vertex angle in an isosceles triangle?
an isosceles triangle can have any vertex angle less than 180 and greater than 0, as long the other two angles are equal. an isosceles triangle with a vertex of 179 degrees would just have the other two angles be 0.5 degrees. A right triangle with matching angles (both 45 degrees) would be both a right triangle and isosceles triangle.
Where is the obtuse in the isosceles triangle?
If it were one of the two equal angles it would mean the sum of the triangle's angles would be greater than 180o. It can only be the other angle.
How many obtuse angles could an isosceles triangle have?
An Isosceles Triangle is a triangle with all angles less than 90o So there are no obtuse angles (between 90o to 180o).
When two angles of a triangle are equal than the triangle is called?
An isosceles triangle
Is an isosceles triangle an obtuse?
It can be but need not be.
What are the kinds of triangle acording to their angles?
equilateral triangle has all angles of 60 degrees isosceles triangle has only two equal angles scalene triangle have no equal angles acute triangle has all angles less than 90 degrees right angle triangle has one angle of 90 degrees obtuse triangle has one angle greater than 90 degrees right isosceles triangle has 90, 45, 45 degree angles assuming two angles are the same: acute isosceles triangle can range from <90,>45,>45 down to >0,<90,<90 obtuse isosceles triangle can range from >90,<45,<45 up to <180,>0,>0
Can an obstuse triangle also be isosceles?
No, an obtuse triangle cannot be isosceles. An isosceles triangle has two sides that are equal in length, but in an obtuse triangle, the angles are all greater than 90 degrees. Therefore, the sides cannot be equal in length.
What is a triangle with all acute angles and exactly two congruent sides?
By Definition, a triangle with two Congruent Sides is an Isosceles Triangle. For ALL angles to be Acute, that is, LESS than 90o , the two opposite angles must be greater than 45o. Remember that the SUM of the angles in a Triangle must equal 180o.
Why is it possible for an isosceles triangle to be an acute explain?
It is possible for an isosceles triangle to be an acute triangle because, in an acute triangle all the angles have to be less than 90o.
Has an isosceles triangle have an obtuse angle?
Not necessarily. The two equal angles in an isosceles triangle must both be acute angles. If they were right angles or obtuse angles then a triangle could not be formed. If the two equal angles are less than 45° each then the third angle is an obtuse angle. If they are both 45° then the third angle is a right angle and if they are both greater than 45° then the third angle is an acute angle.
Can Isosceles triangles be acute or obtuse?
Acute.
