Fundamental Properties of Triangle

The triangle is made up of three sides and has 180 angles the properties of the triangle are based on the type of the triangle with various sides. Furthermore, there are several types of triangles as per their length and the measure of the angle. The triangle having a sixty-degree angle is said to be the equilateral triangle and the triangle having a ninety-degree angle is said to be the right angle triangle. There are various shapes of the triangle such as acute triangle, right triangle, obtuse, scalene, equilateral, isosceles triangle.

What are the “properties of the triangle”?

-A triangle’s interior angles are summed up at 180 degrees, which means all the interior angles made a 180-degree angle.

-The length of the third part is always smaller than the sum of the two sides of the triangle

–   The length of the third part is always greater than the differences in each side of a triangle

 – The formula of developing a triangle area is dependent upon half multiplied by base and height

– The side that is opposite 90 degrees is the largest side of the triangle.

– In a triangle, the outer triangle sides are always the same as the opposite of the two inner sides

– The sum of all triangle sides is known as the triangle’s perimeter.

What are the types of triangles?

Types of triangles are :

“Right angle triangle”- the triangle that is made up of a 90-degree angle is said to be the right triangle.

“Isosceles triangle”- the triangle that has two sides equal or having two equal angles is said to be the isosceles triangle.

Obtuse triangle- the triangle have one angle that is more than the 90-degree angle is said to be the obtuse triangle

Equilateral triangle- the triangle that has a 60-degree angle on all three sides is said to be the “equilateral triangle”. 

“Acute triangle”- the triangle having all of the angles are lesser than 90 degrees is known as to be the “acute triangle”. 

Scale triangle- this is the type of triangle that has an unequal side and angle. 

What is the “formula of the triangle”?

• “The formula of the triangle is ½ base of the triangle* height of the triangle”.
• “The perimeter of the triangle” is some of the sides of the triangle.

“A- Side of one side”

“B- Second side”

“C- Third side of the triangle is known as”

“The perimeter of the triangle” = A+B+C

• “Heroes formula is also used to find the area of the triangle”

“The perimeter of the triangle is A+B+C”

“Semiperimeter of the triangle (S) = (A+B+C)/2”

“HEROES FORMULA = square root of S(S-A) (S-B) (S-C)”

               –   “Pythagoras theorem -square of side a square of side b= square of side c” 

What is the “role of the triangle in real life?

• The triangles are used as symbols in the traffic signal.
• Pyramids are of ancient monuments that are based on the triangle.
• In civil engineering, triangles are used to make bridges, trusses.
• In aeronautical engineering, with the help of the triangle, several aircraft are designed and sailing boats are also made. 
• The construction engineer uses the triangle to make a staircase.
• With the help of the triangle dimension, anyone can find the high of hills, monuments, or height of the pole.

What do you mean by triangle?

Triangle is one of the polygons that is made up of three sides, the word tri means three. The polygon that is made up of three sides is said to be a triangle and have various internal angles. There are various types of triangles such as the “right-angle triangle”, “scalene triangle”, “isosceles triangle”, “equilateral triangle”, “obtuse triangle”, and “acute triangle”.

What are the methods of the triangle?

“SSS- Side side” 

“SAS- side angle side”

“SSA-Side side side”

“AAS- Angle angle side”

“ASA- Angle side angle”

What is the method to obtain the triangle is congruent or not?

The triangle needs to have some methods such as “SSS, SAS, SSA, AAS, and ASA”

What are the factors related to the similarity of the triangle?

The triangle having two pairs of the side is in the same ratio that includes the angle ratio as well as being one of the factors to know the similarity of the triangle.

Conclusion

The above research is based on the triangle in this fundamental property of triangle has been discussed. The method related to the triangle needs to be discussed in this chapter and several properties of the triangle have been discussed. Several types of a triangle have been discussed in this research and various formula related to the triangle has been discussed in this research. The perimeter of the triangle is the sum of all the sides of the triangle. The area of the triangle is ½ base of the side height of the triangle. There is various type of triangle that has been discussed in this topic that is right. The importance of the triangle is to support the bridge, as it is used in the construction of the buildings. The role of the triangle is used in the traffic signal and in designing the aircraft.