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Q: Are two isosceles right triangles always similar?

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No Not all Isosceles right triangles are similar.

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).

An isosceles triangle may have a right angle, but a right angle is not a requirement of all isosceles triangles.

It can only have a maximum of one- and that is only if it is a right-angled isosceles triangle. ----------------------------------------------------- Yes not all isosceles triangles are right angle triangles - this is a special case.

The right isosceles triangle has 180 degrees as all triangles do

Related questions

No Not all Isosceles right triangles are similar.

No. An isosceles right triangle is a special case. There are many right triangles which are not isosceles.

No. Only right triangles do, and not all triangles can be right triangles. Equilateral triangles, for example, are always 60°-60°-60°. Isosceles and scalene triangles can be right triangles; all isosceles triangles have the additional useful property of being able to be split into two right triangles.

No. For example a 3, 4, 5 cm triangle is right angled but not isosceles.

No, not at all. One example is 2 equilateral triangles with sides of differenct lenghths.

no

Yes- but not all isosceles triangles are right triangles. Isosceles means that two sides are the same length, and two angles are the same.

Yes- but not all isosceles triangles are right triangles. Isosceles means that two sides are the same length, and two angles are the same.

Yes.

The geometrical figures, including isosceles triangles, are congruent if they are identical in shape and size. If they are of the same shape but not of the same size, then they are similar triangles. For two similar triangles, there is a correspondence between their vertices such that corresponding angles are equal and the ratios of the corresponding sides are equal. Thus, not all isosceles triangles are congruent.

isosceles are 45-45-90

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).

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