"Hypotenuse-leg" is not necessarily the right-triangle version of "side-angle-side".
It's the right-triangle version of "side-side-side", because if you know that it's a
right triangle, and you know the hypotenuse and a leg, then you can calculate the
length of the other leg.
If you want to work with "side-angle-side", and you know the hypotenuse and a leg,
then you can find the angle between them, because it's the angle whose cosine is
(the known leg) divided by (the hypotenuse), and you can look it up.
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SSS- side side side SAS- side angle side ASA- angle side angle There is also: AAS- angle angle side For right triangles: HL- hypotenuse leg
The 5 ways to prove that two triangles are congruent are to find equal: 1) side-side-side 2) side-angle-side 3) angle-side-angle 4) angle-angle-angle 5) hypotenuse-leg
The hypotenuse is a side, not an angle. However, if you mean the angle across from the hypotenuse, it is always 90 degrees, or pi/2 radians because hypotenuses only exist in right triangles.
The side opposite the right angle is called the hypotenuse.
There are 4 tests that can be used, depending upon what you have:1) SSS (Side-Side-Side) - all three corresponding sides of the triangles are equal.2) AAS (Angle-Angle-Side) - two corresponding angles and one corresponding side are equal3) SAS (Side-Angle-Side) - two corresponding sides and the *ENCLOSED* angle are the same4) RHS (Right angle-Hypotenuse-Side) - The triangles are Right-angled with Hypotenuse and corresponding side equalIn test 2, if two angles are given then the third angle can be calculated, thus the order does not matter and ASA(Angle-Side-Angle) is equivalent and also proves congruency.Note the importance in test 3 that the angle is enclosed between the corresponding sides. If it is not enclosed, the triangles may be congruent, but they may also NOT be congruent. In this case the test you are using is Angle-Side-Side (ASS - which is what you would be to say that the triangles are congruent).Note that RHS is a special case of ASS (the only one which guarantees congruency) in that the angle MUST be a right angle (90°); this means that the third side of both triangles can be calculated using Pythagoras and RHS is effectively SSS.