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Mathematics
Triangles
And
Types of Triangles
Page 2


Mathematics
Triangles
And
Types of Triangles
There are two ways to classify 
triangles
1. One way to classify triangles is by 
looking at the length of their sides.
If all the sides of the triangle equal the 
same length it’s a equilateral triangle.
Here is an example of a 
equilateral triangle
Page 3


Mathematics
Triangles
And
Types of Triangles
There are two ways to classify 
triangles
1. One way to classify triangles is by 
looking at the length of their sides.
If all the sides of the triangle equal the 
same length it’s a equilateral triangle.
Here is an example of a 
equilateral triangle
Classifying triangles by the length of 
their sides.
If only two sides are of the same 
length then you have a isosceles 
triangle.
Here is an example of a isosceles 
triangle.
Notice how both sides 
labeled “c” are the 
same length.
Page 4


Mathematics
Triangles
And
Types of Triangles
There are two ways to classify 
triangles
1. One way to classify triangles is by 
looking at the length of their sides.
If all the sides of the triangle equal the 
same length it’s a equilateral triangle.
Here is an example of a 
equilateral triangle
Classifying triangles by the length of 
their sides.
If only two sides are of the same 
length then you have a isosceles 
triangle.
Here is an example of a isosceles 
triangle.
Notice how both sides 
labeled “c” are the 
same length.
Classifying triangles by the length 
of their sides
If all the sides of the triangle have 
different lengths then you have a scalene 
triangle.
This is a example of a scalene triangle
Notice how all the sides of 
the triangle have different 
sides.
Page 5


Mathematics
Triangles
And
Types of Triangles
There are two ways to classify 
triangles
1. One way to classify triangles is by 
looking at the length of their sides.
If all the sides of the triangle equal the 
same length it’s a equilateral triangle.
Here is an example of a 
equilateral triangle
Classifying triangles by the length of 
their sides.
If only two sides are of the same 
length then you have a isosceles 
triangle.
Here is an example of a isosceles 
triangle.
Notice how both sides 
labeled “c” are the 
same length.
Classifying triangles by the length 
of their sides
If all the sides of the triangle have 
different lengths then you have a scalene 
triangle.
This is a example of a scalene triangle
Notice how all the sides of 
the triangle have different 
sides.
Classifying Triangles by 
their angles
If a triangle has a angle that measures 90 
degrees then it’s a right triangle.
Here is an 
example of a 
right triangle
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FAQs on Triangles and Types of Triangles -PPT (Powerpoint Presentation), Maths - Class 12

1. What are the different types of triangles?
Ans. The different types of triangles are: - Equilateral triangle: A triangle with all three sides and angles equal. - Isosceles triangle: A triangle with two sides and two angles equal. - Scalene triangle: A triangle with no sides or angles equal. - Right triangle: A triangle with one 90-degree angle. - Acute triangle: A triangle with all three angles less than 90 degrees. - Obtuse triangle: A triangle with one angle greater than 90 degrees.
2. How do you determine if a triangle is equilateral?
Ans. A triangle is equilateral if all three sides are equal in length. To determine if a triangle is equilateral, you can measure the lengths of its sides using a ruler or a measuring tape. If all three sides have the same measurement, then the triangle is equilateral.
3. What is the sum of the angles in a triangle?
Ans. The sum of the angles in a triangle is always 180 degrees. This is known as the Triangle Sum Theorem. It means that if you add up the measures of all three angles in a triangle, the total will always be 180 degrees.
4. How do you find the area of a triangle?
Ans. The formula to find the area of a triangle is: Area = (base * height) / 2 To use this formula, you need to know the length of the base of the triangle and the perpendicular height from the base to the opposite vertex. Multiply the base and height, and then divide the product by 2 to get the area.
5. How can you determine if a triangle is right-angled?
Ans. A triangle is right-angled if it has one angle that measures 90 degrees. To determine if a triangle is right-angled, you can measure the angles using a protractor. If one of the angles measures exactly 90 degrees, then the triangle is right-angled. Another way is to check if the square of the longest side is equal to the sum of the squares of the other two sides. This is known as the Pythagorean Theorem and is applicable only to right-angled triangles.
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