Question

How many sides and angles does a triangle have?

Answer 1

1. A triangle is formed when we join three non-co linear points.Now, one line is formed when we take any two points. So, out of three points we have to select any two points to form a triangle. This can be done in 3C2 ways, which is equal to 3. So, a triangle will have 3 sides. Now, two side will form one interior angle.So, if we select any two sides, one interior angle will be formed. This again can be done in 3C2 ways, which is equal to 3. So, a triangle will have 3 interior angles.Again, when you extend each of the side, you will get one exterior angle, which is equal to the sum of interior opposite angles. So, a triangle will also have 3 exterior angles.
2. The sum of all interior angles of a triangle will be 180 degrees.
3. Sum of two sides of a triangle will always be greater than the third side
4. The difference of two sides of a triangle will always be less than the third side.
5. Also, the angle opposite to the greater side will be greater.
6. If all sides are equal to another, all angles will be equal too.
7. Angles opposite to equal sides are also equal.
8. So, A triangle will have 3 sides and 3 angle