What is the SSS formula?

Asked by: Dr. Forest Walsh  |  Last update: February 19, 2025
Score: 4.8/5 (8 votes)

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. In the above-given figure, AB= PQ, BC = QR and AC=PR, hence Δ ABC ≅ Δ PQR.

What is the SSS equation?

SSS or Side-Side-Side Similarity

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar. Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ. Also, read: Isosceles Triangle Equilateral.

What is the SSS rule example?

For example, the two triangles above are said to be congruent according to the SSS congruence rule. This means that AB falls on XY, BC falls on XZ, and AC falls on ZY. Hence, it indicates that the corresponding parts of congruent triangles are equal.

How to solve sss theorem?

To solve an SSS triangle:
  1. use The Law of Cosines first to calculate one of the angles.
  2. then use The Law of Cosines again to find another angle.
  3. and finally use angles of a triangle add to 180° to find the last angle.

How do you calculate SSS?

How to calculate SSS contribution?
  1. Employer's contribution: 9.5% x ₱20,000 = ₱1,900.
  2. Employee's contribution: 4.5% x ₱20,000 = ₱900.
  3. Total SSS contributions: ₱1,900 + ₱900 = ₱2,800.

Heron's Area Formula (SSS)

20 related questions found

What is the formula for theorem?

The formula for Pythagoras' theorem is a² + b² = c². In this equation, “C” represents the longest side of a right triangle, called the hypotenuse. “A” and “B” represent the other two sides of the triangle.

What is the SSS and its function?

The Social Security System (SSS) administers social security protection to workers in the private sector.

What is SSS postulate in math?

First, there's the side-side-side postulate, or SSS. This states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

What is the theorem of triangles?

Theorems of Triangles

Theorem 1: The total of the three interior angles in any triangle is 180 degrees. Theorem 2: When a triangle side is constructed, the exterior angle formed is equal to the sum of the interior opposite angles.

What is a real life example of SSS?

SSS (Side-Side-Side) Congruence: Example: Building Blocks In a set of building blocks, if two blocks have the same length, width, and height, they are congruent by SSS axiom.

What law do you use for SSS?

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.

What is the hypotenuse side test?

Answer: Theorem: In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.

What is the sss rule?

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 basis of SSS?

The monthly earnings declared by the SE during registration (based on actual earnings) shall be the basis of his/her Monthly Salary Credit (MSC) with corresponding amount of monthly contributions based on actual income.

What is an example of SSS?

What is an example of the SSS postulate or theorem? The SSS postulate applies to triangles that have the same measurements for corresponding sides. An example would be a triangle that has side lengths 3, 4, and 5 and a triangle that has side lengths 4, 3, and 5.

What is the formula for the SSS theorem?

SSS Formulas

SSS Congruence Rule: If the three sides of ΔABC are congruent to the corresponding sides of ΔXYZ, then ΔABC ≅ ΔXYZ. If AB = XY, BC = YZ, and AC = XZ, then ΔABC ≅ ΔXYZ. SSS Similarity Rule: If the ratio of the corresponding sides of ΔABC and ΔXYZ is equal, then the ΔABC ~ ΔXYZ.

What does SSS mean in algebra?

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.

How does the SSS work?

The current Social Security system works like this: when you work, you pay taxes into Social Security. We use the tax money to pay benefits to: Retired workers. Workers with qualifying disabilities.

What is the SSS congruence postulate?

Side-Side-Side (SSS) Congruence Postulate:

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

What are the functions of the SSS?

The mission of the SSS is to protect and defend the Federal Republic of Nigeria against domestic threats, to uphold and enforce the criminal laws of Nigeria, and to provide leadership and criminal justice services to both federal and state law-enforcement organs.

Who is the father of mathematics?

Archimedes is known as the Father of Mathematics. Mathematics is one of the ancient sciences developed in time immemorial.

What is the formula for all triangles?

The area of a triangle is equal to: (the length of the altitude) × (the length of the base) / 2. In ∆ABC, BD is the altitude to base AC and AE is the altitude to base BC. Triangle Formula: The area of a triangle ∆ABC is equal to ½ × BD × AC = ½ × 5 × 8 = 20. The triangle area is also equal to (AE × BC) / 2.

What is the sin cos tan formula?

Sin Cos Tan Formula

Now as per sine, cosine and tangent formulas, we have here: Sine θ = Opposite side/Hypotenuse = BC/AC. Cos θ = Adjacent side/Hypotenuse = AB/AC. Tan θ = Opposite side/Adjacent side = BC/AB.