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No. If all sides of a triangle are congruent then so are the angles. And, since the three angles sum to 180 degrees, each angle MUST be 60 degrees. So there cannot be any right angle in such a triangle.
Another way to look at it is, according to the Pythagoras theorem, the square on the hypotenuse is equal to the sum of the squares on the two legs of a right angled triangle.
But in this case, the three are congruent (each of length x units), so
x2 = x2 + x2 or x2 = 2x2 which can only be true if x = 0 or if 1 = 2
The first option gives a triangle whose sides have no length! while the second states that 1 = 2. Neither is possible and hence you cannot have such a triangle.
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What type of triangle has 1 right angle and 2 congruent sides?
Isosceles Triangle - 2 congruent sides Equilateral Triangle - all three sides are congruent Scalene triangle - no sides are congruent
What do the triangles look like and what are the names?
Equilateral triangle = All sides congruent Scalene triangle = No sides congruent Isosceles triangle = At LEAST two sides congruent Right triangle = Triangle with one right angle Obtuse triangle = Triangle with ONE obtuse angle Acute triangle = Triangle with ALL acute angles
Are all sides of an isosceles triangle are congruent?
No because only 2 of its 3 sides are congruent in an isosceles triangle but all 3 sides of an equilateral triangle are congruent.
Are all sides congruent in a scalene triangle?
No, none of the sides or angles are congruent in a scalene triangle. All three sides (and all three angles) are congruent only in an equilateral triangle.
If a triangle has one congruent side then is it a scalene triangle?
if it has one congruent side it is a scalene triangle. if it has a pair of congruent sides it is an isosceles triangle. if all the sides are congruent it is an equilateral triangle
What type of triangle has 1 right angle and 2 congruent sides?
Isosceles Triangle - 2 congruent sides Equilateral Triangle - all three sides are congruent Scalene triangle - no sides are congruent
What do the triangles look like and what are the names?
Equilateral triangle = All sides congruent Scalene triangle = No sides congruent Isosceles triangle = At LEAST two sides congruent Right triangle = Triangle with one right angle Obtuse triangle = Triangle with ONE obtuse angle Acute triangle = Triangle with ALL acute angles
What triangle has no congruent sides?
A scalene triangle has no congruent sides. An equilateral has all equal sides, and an isosceles triangle has two of three sides equal.
Is the isosceles triangle the only triangle with congruent sides and angles?
In an isosceles triangle 2 sides are congruent and 2 angles are congruent. In an equilateral triangle all 3 sides are congruent and all 3 angles are congruent also.
Are all sides of an isosceles triangle are congruent?
No because only 2 of its 3 sides are congruent in an isosceles triangle but all 3 sides of an equilateral triangle are congruent.
Kinds of triangle according to number of congruent sides?
All triangles have 3 sides and 3 interior angles that add up to 180 degrees. Equilateral triangles have 3 congruent sides. Isosceles triangles have 2 congruent sides. A right angle triangle can have 2 congruent sides if its interior angles are 90, 45, 45 degrees. A scalene or an obtuse triangle has no congruent sides.
Are all sides congruent in a scalene triangle?
No, none of the sides or angles are congruent in a scalene triangle. All three sides (and all three angles) are congruent only in an equilateral triangle.
A triangle with all sides congruent is called?
An Equalateral Triangleequalateral triangle it also has congruent anglesEquilateral triangleA triangle with all the sides congruent is called an equilateral triangle.
What triangle has all sides that are congruent?
Such a triangle is said to be EQUILATERAL. Note that if all three sides are congruent, all three angles are also congruent.
If a triangle has one congruent side then is it a scalene triangle?
if it has one congruent side it is a scalene triangle. if it has a pair of congruent sides it is an isosceles triangle. if all the sides are congruent it is an equilateral triangle
Does a triangle that has congruent sides and angles is an isosceles right triangle?
Not necessarily. The details are quite vague here since the question doesn't give the specific number of sides and angles.A triangle that has all congruent angles and sides is called an equilateral triangle.A triangle that has two congruent angles and two congruent sides is called an isosceles triangle.
Are all the sides of a right triangle congruent?
Certainly not. In an equilateral triangle, in which all sides and all angles are congruent (or in other words, are the same) then all angles are 60o angles, there is no 90o angle and therefore it is not a right triangle. A typical right triangle would have angles of 90o, 60o, and 30o, and each of the three sides would be a different length.
