Not all the time but it can happen
A right isosceles triangle.
In an isosceles triangle, two angles, and therefore sides (Base Angle Theorem), are congruent. This does not mean that all isosceles triangles are also right triangles - there is only one (45, 45, 90 triangle).
No. An isosceles right triangle has the measures of 90, 45, and 45. Isosceles means that two sides are congruent. Hope this helps :)
No isosceles triangle in the world is congruent to any equilateral triangle. No equilateral triangle in the world is congruent to any right triangle.
No. An isosceles right triangle is a special case. There are many right triangles which are not isosceles.
That's an isosceles right triangle.
Yes. Only if the other two angles of the right triangle are congruent and each equal 45 degrees. Then using the isosceles triangle theorem, you know that the two sides opposite the angles are congruent.
Isosceles Triangle - 2 congruent sides Equilateral Triangle - all three sides are congruent Scalene triangle - no sides are congruent
No, a triangle with two congruent sides is not always a 45-45-90 triangle. Such a triangle is classified as an isosceles triangle, which can have various angles, including right angles, acute angles, or obtuse angles. A 45-45-90 triangle is a specific case of an isosceles right triangle, where the angles are precisely 45 degrees each. Thus, while all 45-45-90 triangles are isosceles, not all isosceles triangles are 45-45-90 triangles.
A triangle with 1 right angle and 2 congruent acute angles is both a right triangle and an isosceles triangle.
When it's a right triangle and it's sitting on one of the congruent sides.
right angled isosceles triangle