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"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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What are the three methods of proving triangles congruent?
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
What are the five ways to prove a triangles congruent?
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
How do you measure a hypotenuse angle if you know the other two angles?
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 of a right triangle opposite the right angle?
The side opposite the right angle is called the hypotenuse.
How do you know if a two triangles are congruent?
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.
What ways can you show that triangles are similar?
Angle side angle, side side side, hypotenuse length, side angle side, angle angle side.
What are the three methods of proving triangles congruent?
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
How are two triangles are congruent?
Two triangle are congruent by either SAS(Side Angle Side), AAS(Angle Angle Side), or ASA(Angle Side Angle). In right triangles you can also use HL(Hypotenuse Leg).
Is the term hypotenuse associated with obtuse triangles?
No, it isn't. The term Hypotenuse is associated with right triangles. It is the longest side of the triangle, opposite the right angle.
What are the five ways to prove a triangles congruent?
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
Does the cosine rario work with non- right triangles?
The cosine of an angle is the ratio of the adjacent side to the hypotenuse only when the angle is in a right triangle. (Otherwise, how would you know which side is the "hypotenuse" ?)
What are facts about right triangles?
The ratio of the length of the side opposite a given angle to the hypotenuse is the sine of that angle.The ratio of the length of the side adjacent to a given angle to the hypotenuse is the cosine of that angle.The ratio of the length of the side opposite a given angle to the side adjacent to that angle is the tangent of that angle.
What are the four tests of congruency in triangles?
side-side-side (S.S.S. cong)side-angle-side (S.A.S. cong)angle-angle-side (A.A.S cong)right-hypotenuse-side (R.H.S. cong)
Is angle-angle-side a correct property of concurrency of triangles?
As long as the sides correspond then yes. The other three are: Side-Side-Side Side-Angle-Side - the angle *MUST* be between the two sides Right angle-Hypotenuse-Side
How do you measure a hypotenuse angle if you know the other two angles?
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.
Which postulate theorem verifies the congruence of two right triangles?
RHS congruency, or, right angle, hypotenuse and corresponding side.
The side of a right triangle opposite the right angle?
The side opposite the right angle is called the hypotenuse.
