They don't always- they don't always 'has' a smaller perimeter than other triangles. A triangle can be absolutely any size as long as it has three sides and angles that add to 180 degrees
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An obtuse triangle equals 180°, like all other triangles but it must have one angle that is greater than 90°.
infinite amounts of isosceles triangles as any length can be any size, just in the same ratio to each other.
The answer will depend on what the fraction relates to: their perimeter, their area, some other aspect.
Obtuse triangles and right triangles certainly are not the same, but there are three features both have in common: Both have 3 sides Both have 3 interior angles Both have a single side which is longer than either of the other two, but shorter than the sum of the other two.
If the 2 triangles are right triangles, which are congruent to slicing the rectangle on the diagonal, then arrange one on top of the rectangle, and the other to the side, so that the two hypotenuses are in line with each other. This will make a bigger right triangle, which is similar to the smaller right triangles - each side is double of the smaller triangles.