Q: When will two right triangles be similar?

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congruent sides and right angles, etc

Two equilateral triangles are always similar!

They are said to be similar but not congruent triangles.

Similar, YES. Congruent, NO.

No.Examples:The right angled triangles {3, 4, 5} & {6, 8, 10} are similar;The right angled triangles {3, 4, 5} & {5, 12, 13} are just two right angled triangles.

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No

congruent sides and right angles, etc

Two equilateral triangles are always similar!

They are said to be similar but not congruent triangles.

Not always, sometimes two obtuse triangles are similar and sometimes they are not similar.

Similar, YES. Congruent, NO.

No.Examples:The right angled triangles {3, 4, 5} & {6, 8, 10} are similar;The right angled triangles {3, 4, 5} & {5, 12, 13} are just two right angled triangles.

two right triangles

Given certain triangles, it would be possible for an angle to be bisected and create two new triangles which are similar to each other. And in the case of a [45Â°, 45Â°, 90Â°] right triangle, if you bisect the right angle, then you will create two new [45Â°, 45Â°, 90Â°] triangles (both similar to each other and similar to the original).

Yes. You can even have two triangles with two pairs of sides that are the SAME measure without the triangles being similar.

If the angles of two triangles are equal the triangles are similar. AAA If you have three angles on both triangles these must be equal for the triangles to be similar. SAS If you have an angle between two sides and the length of the sides and the angle are the same on both triangles, then the triangles are similar. And SSS If you know the three sides

yes there similar