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Where can Pythagoras Theorem be used?
Pythagoras' theorem can be used for right-angled triangles. Using the theorem, you are able to calculate what the length of one side of a triangle is.
What type of triangle is used in Pythagoras theorem?
Right triangle ( triangle in which one angle is 90 degrees)
which of the following reasons can be used for statement 3 of the proof of the exterior angle theorem?
triangle sum theorem
What is the Pythagorem theorem used for?
The Pythagorean theorem is used to find the length of a side of a right triangle knowing the length of the other two side.
Can Pythagorean Theorem can be used on any triangle to determine the length of a missing side?
yes
Which triangle Congruence Postulate can be used to prove that PAC PBC?
SAS
Which additional congruence statement could you use to prove that mc110-2.jpgby HL?
To prove triangles are congruent by the Hypotenuse-Leg (HL) theorem, you need to establish that both triangles have a right angle, and that the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of the other triangle, respectively. An additional congruence statement that could be used is that the lengths of the hypotenuses of both triangles are equal, along with confirming that one leg in each triangle is also equal in length. This information is sufficient to apply the HL theorem for congruence.
Which theorem is used to prove the AAS triangle congruence postulate theorem?
The first thing you prove about congruent triangles are triangles that have same side lines (SSS) is congruent. (some people DEFINE congruent that way). You just need to show AAS is equivalent or implies SSS and you are done. That's the first theorem I thought of, don't know if it works though, not a geometry major.
Which two reasons can be used to prove the Angle-Angle-Side Congruence Theorem?
The Angle-Angle-Side (AAS) Congruence Theorem can be proven using two main reasons: first, if two angles of one triangle are congruent to two angles of another triangle, the third angles must also be congruent due to the triangle sum theorem. Second, with an included side between these two angles, the two triangles can be shown to be congruent using the Side-Angle-Side (SAS) criterion, as both triangles share the same side and have two pairs of congruent angles.
Select the postulate or theorem that could be used to prove QRT STR?
Well, this will depend on the length of the sides of the triangle for what postulate or theorem you will be using.
Can a corollary be used to prove a theorem?
Yes, the corollary to one theorem can be used to prove another theorem.
What is the meaning of sss in math?
In mathematics, "SSS" typically refers to the Side-Side-Side theorem, which is a criterion used to determine the congruence of triangles. According to this theorem, if three sides of one triangle are equal in length to three sides of another triangle, then the two triangles are congruent. This means that they have the same shape and size, although their positions may differ. The SSS criterion is fundamental in geometry for proving triangle congruence.
Given that bd is both the median and altitude of a abc. congruence postulate sas is used to prove that abc is what type of triangle?
BAD = BCD is the answer i just did it
What theorem is used to prove a segment is a bisector?
A segment need not be a bisector. No theorem can be used to prove something that may not be true!
Which postulate or theorem can be used to prove that SEA?
To prove that triangle SEA is congruent to another triangle, you can use the Side-Angle-Side (SAS) Postulate. This postulate states that if two sides of one triangle are equal to two sides of another triangle, and the angle included between those sides is also equal, then the triangles are congruent. Additionally, if you have information about the angles and sides that meet the criteria of the Angle-Side-Angle (ASA) or Side-Side-Side (SSS) congruence theorems, those could also be applicable.
Why cant you have SSA be a proof of triangle congruence?
SSA (Side-Side-Angle) cannot be a proof of triangle congruence because it does not guarantee that the two triangles formed are congruent. The angle can be positioned in such a way that two different triangles can have the same two sides and the same angle, leading to the ambiguous case known as the "SSA ambiguity." This means two distinct triangles could satisfy the SSA condition, thus failing to prove congruence. Therefore, other criteria like SSS, SAS, or ASA must be used for triangle congruence.
Can you use triangle in a sentence?
Pythagoras's Theorem is used to determine if a triangle is a right triangle or not.
