Geometry: Area of Triangles and Quadrilateral | Class 10 Mathematics Solutions

  Unit: 13  
Geometry: Area of Triangles and Quadrilateral

Before starting the discussion about Area of Triangles and Quadrilateral we have to review the following concept.

Triangle

A triangle is a closed plane figure bounded by three line segments. The line segments are called the sides of the triangle. The points at which the two sides meet are called the vertices of the triangle. The horizontal side at which the triangle stands is called its base. 

The angle opposite to the base is called vertical angle. The perpendicular joining the vertex to the base is called the height or altitude of the triangle. The line segment joining the vertex to the mid-point of the base is called the median of the triangle.

 A triangle has three vertical angles, three medians, three attitudes and three bases. The area of a triangle is generally denoted by A(delta) and is given by;
Area (A) = 1/2 × height × base

Quadrilateral

A quadrilateral is a closed plane figure bounded by four line segments. The area of the quadrilateral is given by ;

Area (A) = 1/3 ( a diagonal × sum of perpendiculars drawn from the opposite vertices to this diagonal )

Parallelogram

A quadrilateral whose opposite sides are parallel is called a parallelogram. The area of a parallelogram is given by;

Area (A) = Base × Height.
I.e. A = b×h

Rectangle

A rectangle is a parallelogram whose one angle is right angle i.e. 90 degrees The area of a rectangle is given by the product of two adjacent sides, i.e. length and breadth.

Area (A) = Length × Breadth 

Rhombus

A rhombus is a quadrilateral whose all sides are equal and none of the angles is 90 degrees The area of a rhombus is given by;  

Area (A) = height × one side

Geometry: Area of Triangles and Quadrilateral Class 10 Maths Solution PDF

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Is Class 10 Math Guide Helpful For Student ?

I have published this Notes for helping students who can’t solve difficult maths problems. Student should not fully depend on this note for doing all exercises. If you totally depend on this note and simply copy a to z then it may affect your study.

Student should also try to solve some problems themselves. You can use this note as a reference. You should check all the answers carefully because all the answers may not be correct. There may be some minor mistakes in the note, please consider those mistakes.

How to Secure Good Marks in Mathematics ?

As, you may know I’m also a student. Being a student is not so easy. You have to study and work hard in 8 different subjects. From my point of view most of the student are weak in mathematics. They face difficulties while solving maths problems. I was also facing the same problem when I was in grade 10.

If you also want to secure good marks in mathematics then you should practise them everyday. You should always start your practise from a simple problems. When you solve some simple problems then it will motivates you to solve some other harder problem. Slowly and gradually increase the difficulty of questions day by day.

Maths is not only about practising. You also needs to be clear about the concept of solving the problems. When you get the concept then you can easily solve maths problems which are in similar formats.

You should make the habit of making side notes. It means you should make notes of formulas, tips of solving that problems and the main concept.

When your teacher tries to make the concept clear by giving some random example then all student tries to remember the same example but you shouldn’t do that. You should try to relate that concept with your daily life and create your own formula of remembering the concepts.

If you give proper time for your practise with proper method of practising then you’ll definitely score a good marks in your Exam. You can also make a time table for your study and read accordingly.

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