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When will two right triangles be similar?
To prove that two right triangles are similar, all you need to show is that one of them has one acute angle that's equal to one acute angle of the other one.
What are the ways you can show that triangles are similar?
You can use the theorems like SSS, SSA to show that they are similar. For example if two triangles have the same 3 sides length or two side lengths equal and 1 angle equal they are similar. * * * * * That is congruent, not similar! Similar is a weaker requirement. All that is needed is that two corresponding angles are the same. Equivalently, the three corresponding sides are in the same proportion.
What else would need to be congruent to show that abc def by aas?
Nothing else, the angle-angle-side is sufficient to show the triangles are congruent. With two corresponding angles are equal, the third angles in the triangles by definition (the sum of the three angles in a triangle is 180o) must be equal making the triangles similar. If a corresponding pair of sides are also equal, then the other two corresponding pairs of sides will be equal.
What else would need to be congruent to show that ABCis congruent toXYZ by SAS?
The answer depends on what is already known about the two triangles.
Can you show me the equilateral that is also an acute triangles a pictue of it?
All equilateral triangles are acute triangles, since all the angles are less than 90 degrees.
