median-of-a-triangle-divides-it-into-two-triangles-of-equal-areas-cbse-class-9-mathts

Median of a triangle divides it into two triangles of equal areas | Word Problems

http://www.learncbse.in/ncert-solutions-for-class-9-maths/

00:02 Q1. In Fig.9.23, E is any point o.n median AD of a Triangle ABC. Show that ar (ABE) = ar (ACE).

00:30 Defination of Median : A median of a triangle is a line segment that joins the vertex of a triangle to the midpoint of the opposite side

01:06 Apply Area of triangle formula:Area of a triangle is the product of its base and the corresponding altitude.

03:18 Apply Area Axiom:If a planar region formed by a figure T is made up of two non-overlapping planar regions formed by figures P and Q, then ar(T)= ar (P)+ ar(Q)

NCERT solutions for CBSE class 9 maths Areas of Parallelograms and Triangles

CBSE Class 9 maths solutions Areas of Parallelograms and Triangles

CBSE class 9 maths Areas of Parallelograms and Triangles

Area of a figure is a number (in some unit) associated with the part of the plane enclosed by that figure.

Two figures are called congruent, if they have the same shape and the same size.

In this video, we learn how to apply Congruency Rule to solve Problems on Areas of Parallelograms and Triangles. Use parallel lines concept and triangle congruence theorems to prove/solve problems on Areas of Parallelograms and Triangles.

Basic Concept:

Area of a parallelogram is the product of its base and the corresponding altitude.

Area of a triangle is half the product of its base and the corresponding altitude.

Two figures are said to be on the same base and between the same parallels, if they have a common base (side) and the vertices, (or the vertex) opposite to the common base of each figure lie on a line parallel to the base.

Paralleogram Theorem:

Triangles on the same base (or equal bases) and having equal areas lie between the same parallels.

A median of a triangle divides it into two triangles of equal areas.

Reference book for the above video is

National Council of Educational Research and Training (NCERT) Book for Class 9 Subject: Maths

This Video is also refers as CBSE Class 9 mathts NCERT Solutions Chapter 9 Areas of Parallelograms and Triangles

This video is suited for CBSE class 9 maths Areas of Parallelograms and Triangles.

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