Hello friends,Earlier we have discussed and practiced on commutative property worksheets and today we are going to discuss about the topic geometric quantities and geometric expressions which you will be facing in grade VI of karnataka secondary education board. Although we have got some geometry help in previous class. But it will be tough for you to understand the part of geometry now. We will study about triangle and circle.
In geometry triangle is the combination of three sides with edges
Triangle is of fallowing type
1Equilateral
2 Isosceles
3 Right angles
4 Obtuse triangles
5Acute triangle
Firstly we will discuss about equilateral triangle
Equilateral triangles are those triangles whose all the angles are equal. As we know sum of all the angles of triangle is 180, and a triangle consists of 3 angles so all the angle will be of 60. As all the angles are equal it means all the sides are equal.(want to Learn more about Geometric Quantities,click here),
Isosceles triangles are those triangles whose 2 sides are equal and sum of two sides will be greater than the third one. It has two sides equal and one side can be anything. If 2 sides are same then we can say that 2 angles will be same.
Right angle triangle is the triangle which has one angle of 90 degree and other angle can be anything. Right angle means 90 degree. A right angle triangle can be isosceles in one condition if rest two angles are of 45 degree.
For studying about obtuse triangle we must know about obtuse angle. Any angle greater than 90 degree and less than 180 degree is called obtuse angle so we can say that if in a triangle an angle is of more then 90 degree then that triangle is called obtuse angle. An obtuse angle can never be a right or isosceles triangle.
For studying about acute triangle we must know about acute angle. Any angle between 1 to 90 degree is called acute angle. So acute triangle will have one angle less than 90 degree.
Let us discuss some problems related to triangle.
Example –A right angle triangle has an angle 0f 60 degree find the rest two angles.
As it is a right angle triangle it means one angle should be 90 degree and one is given 60 degree. Now we just need to find out one angle. We know some of the angles is 180 degree so we just need to add both the given angles and subtract them with 180 degree.
So 90+60=150
And 180-150=30
So we have to find the angle as 30 degree. We also conclude one thing with the above that side opposite to angle 90 is bigger than the side opposite to 30 and 60 degree angle. The side opposite to 30 degree will be will be the smallest one.
You can also find sides of triangle with the angle that we will discuss it in next coming articles. Hope you have understood the concept of triangle as we have discussed all the types of triangles.
This is all about the Geometric Quantities and Expressions and if anyone want to know about Constructing sample spaces then they can refer to internet and text books for understanding it more precisely.Read more maths topics of different grades such as Basic constructions in the next session here.
In geometry triangle is the combination of three sides with edges
Triangle is of fallowing type
1Equilateral
2 Isosceles
3 Right angles
4 Obtuse triangles
5Acute triangle
Firstly we will discuss about equilateral triangle
Equilateral triangles are those triangles whose all the angles are equal. As we know sum of all the angles of triangle is 180, and a triangle consists of 3 angles so all the angle will be of 60. As all the angles are equal it means all the sides are equal.(want to Learn more about Geometric Quantities,click here),
Isosceles triangles are those triangles whose 2 sides are equal and sum of two sides will be greater than the third one. It has two sides equal and one side can be anything. If 2 sides are same then we can say that 2 angles will be same.
Right angle triangle is the triangle which has one angle of 90 degree and other angle can be anything. Right angle means 90 degree. A right angle triangle can be isosceles in one condition if rest two angles are of 45 degree.
For studying about obtuse triangle we must know about obtuse angle. Any angle greater than 90 degree and less than 180 degree is called obtuse angle so we can say that if in a triangle an angle is of more then 90 degree then that triangle is called obtuse angle. An obtuse angle can never be a right or isosceles triangle.
For studying about acute triangle we must know about acute angle. Any angle between 1 to 90 degree is called acute angle. So acute triangle will have one angle less than 90 degree.
Let us discuss some problems related to triangle.
Example –A right angle triangle has an angle 0f 60 degree find the rest two angles.
As it is a right angle triangle it means one angle should be 90 degree and one is given 60 degree. Now we just need to find out one angle. We know some of the angles is 180 degree so we just need to add both the given angles and subtract them with 180 degree.
So 90+60=150
And 180-150=30
So we have to find the angle as 30 degree. We also conclude one thing with the above that side opposite to angle 90 is bigger than the side opposite to 30 and 60 degree angle. The side opposite to 30 degree will be will be the smallest one.
You can also find sides of triangle with the angle that we will discuss it in next coming articles. Hope you have understood the concept of triangle as we have discussed all the types of triangles.
This is all about the Geometric Quantities and Expressions and if anyone want to know about Constructing sample spaces then they can refer to internet and text books for understanding it more precisely.Read more maths topics of different grades such as Basic constructions in the next session here.
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