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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
