What is the SSS rule in math?

What is the SSA condition in math?

The “Ambiguous Case” (SSA) occurs when we are given two sides and the angle opposite one of these given sides. The triangles resulting from this condition needs to be explored much more closely than the SSS, ASA, and AAS cases, for SSA may result in one triangle, two triangles, or even no triangle at all!

How to determine sss?

SSS (Side-Side-Side)

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.

What is the SAS rule in math?

Side-Angle-Side (SAS) congruence postulate:

If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

What does sss look like?

In these triangles, you can see that all three pairs of sides are congruent. This is commonly referred to as "side-side-side" or "SSS". The SSS criterion for triangle congruence states that if two triangles have three pairs of congruent sides, then the triangles are congruent.

What is SSS in simple words?

The Social Security System (SSS; Filipino: Paseguruhan ng mga Naglilingkod sa Pribado) is a state-run social insurance program in the Philippines to workers in the private, professional and informal sectors. SSS is established by virtue of Republic Act No. 1161, better known as the Social Security Act of 1954.

How to tell the difference between SSA and SAS?

Both of these two postulates tell you that you have two congruent sides and one congruent angle, but the difference is that in SAS, the congruent angle is the one that is formed by the two congruent sides (as you see, the "A" is between the two S), whereas with SSA, you know nothing about the angle formed by the two ...

What is the Cpct rule?

CPCT refers to Corresponding parts of Congruent Triangle, i.e. if 2 triangles are congruent, they are exactly the mirror images of each other and the corresponding parts of both the triangles including length of sides as well as angles can be inferred to be equal.

How do you use SSS?

There is SSS (Side, Side, Side). This means if each of the 3 sides of one of the triangles are equivalent to the other 3 sides on the other one, then they are both congruent. Another example is SAS (Side, Angle, Side).

How do I calculate my SSS?

What does SSS look like in math?

Side Side Side Congruence Theorem

Side-Side-Side (SSS) congruence theorem states that if three sides of a triangle is equal to the corresponding sides of the other triangle, the two triangles are said to be congruent. Let us see the proof of the theorem: Given: AB = DE, BC = EF, and AC = DF. To prove: ∆ABC ≅ ∆DEF.

What is the SSS congruence rule?

SSS Congruence Rule

Theorem: In two triangles, if the three sides of one triangle are equal to the corresponding three sides (SSS) of the other triangle, then the two triangles are congruent.

What does CPCTC stand for?

The CPCTC theorem states that when two triangles are congruent, their corresponding parts are equal. The CPCTC is an abbreviation used for 'corresponding parts of congruent triangles are congruent'.

What is the HL theorem?

For instance, the hypotenuse-leg (or HL) theorem states that if a right triangle has a congruent hypotenuse and corresponding leg to another right triangle, then the right triangles are congruent to each other.

What does SSS mean in maths?

SSS stands for “side, side, side” and means that we have two triangles with all three sides equal. If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

What formula do you use for SSS?

How do I solve SSS triangles? Apply again the law of cosines to a and c to determine the angle β . Compute the remaining angle as α = 180° - β - γ . If you wish to determine the area, compute Area = ½ ab sin γ or use the Heron formula: Area=√(s(s - a)(s - b)(s - c)) , where s = (a + b + c)/2 .

How does SSS calculate lump sum?

Lump Sum Amount

Monthly pension multiplied by the number of monthly contributions paid prior to the semester of death; or. Twelve (12) times the monthly pension.

Why does the SSA theorem not work?

However, with this congruence rule, two triangles are not said to be congruent since the sides of the two triangles may not be on the same corresponding sides. Both the triangles might end up having different shapes and sizes from each other. Thus, the SSA congruence rule is not valid.

Is SSA a sine or cosine?

Use the law of cosines when you are given SAS, or SSS, quantities. For example: If you were given the lengths of sides b and c, and the measure of angle A, this would be SAS. SSS is when we know the lengths of the three sides a, b, and c. Use the law of sines when you are given ASA, SSA, or AAS.

Can sss be proven congruent?

Proving Triangles are Congruent Using SSS: Vocabulary

_SSS theorem of congruence: The SSS theorem of congruence states that if the three sides of one triangle are congruent to the three corresponding sides of another triangle, then the triangles are congruent.