Aug 18

Most of the students are don’t realize what is Universal Set U
is all about ,Let’s see an example problem which explains us more ….

Question:-

Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five students are in both classes, how many students are in neither class? How many are in either class? What is the probability that a randomly-chosen student from this group is taking only the Chemistry class?

Answer:-

This online help with math gives the solution of the above problem.
Here the total number of students in class is what is Universal Set U ,which is given as 40 students

Here is the venn diagram template for the complete question

Two students are taking neither class.
There are 38 students in at least one of the classes.
There is a 24/40 = 0.6 = 60%  probability that a randomly-chosen student in this
group is taking Chemistry but not English.

Mar 10

Topic : Properties of Triangle

 

Question : List and Explain the properties of Triangle.

 

Solution :

 

Vertex : The vertex (plural: vertices) is a corner of the triangle. Every triangle has three vertices. 

 

Base : The base of a triangle can be any one of the three sides, usually the one drawn at the bottom. You can pick any side you like to be the base. Commonly used as a reference side for calculating the area of the triangle. In an isosceles triangle, the base is usually taken to be the unequal side. 

Altitude : The altitude of a triangle is the perpendicular from the base to the opposite vertex. The altitudes intersect at a single point, called the orthocenter of the triangle.

Median : The median of a triangle is a line from a vertex to the midpoint of the opposite side. 

Area : The number of square units it takes to exactly fill the interior of a triangle.

 

Perimeter : The distance around the triangle. The sum of its sides. Definition: The total distance around the outside of a triangle

perimeter = a+b+c, where a,b and c are the lengths of each side of the triangle

Math Concepts and Examples