English

The median of a triangle divides it into two ______. - Mathematics

Advertisements
Advertisements

Question

The median of a triangle divides it into two ______.

Options

  • triangles of equal area

  • congruent triangles

  • right triangles

  • isosceles triangles

  • equilateral triangle

MCQ
Fill in the Blanks
Advertisements

Solution

The median of a triangle divides it into two triangles of equal area.

Explanation:

We know that, a median of a triangle is a line segment joining a vertex to the mid-point of the opposite side.

Thus, the median of a triangle divides it into two triangles of equal area.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Areas of Parallelograms and Triangles - Exercise 14.5 [Page 60]

APPEARS IN

RD Sharma Mathematics [English] Class 9
Chapter 14 Areas of Parallelograms and Triangles
Exercise 14.5 | Q 4 | Page 60
NCERT Exemplar Mathematics [English] Class 9
Chapter 9 Areas of Parallelograms & Triangles
Exercise 9.1 | Q 1. | Page 85
Nootan Mathematics [English] Class 9 ICSE
Chapter 13 Theorems on Area
Exercise 13B | Q 6. | Page 261

RELATED QUESTIONS

If AD is a median of a triangle ABC, then prove that triangles ADB and ADC are equal in
area. If G is the mid-point of median AD, prove that ar (Δ BGC) = 2 ar (Δ AGC).


A point D is taken on the side BC of a ΔABC such that BD = 2DC. Prove that ar(Δ ABD) =
2ar (ΔADC).


D is the mid-point of side BC of ΔABC and E is the mid-point of BD. if O is the mid-point
of AE, prove that ar (ΔBOE) = `1/8` ar (Δ ABC).


PQRS is a trapezium having PS and QR as parallel sides. A is any point on PQ and is a point on SR such that AB || QR. If area of ΔPBQ is 17cm2, find the area of ΔASR.


The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is ______.


ABCD is a trapezium in which AB || DC. If ar (ΔABD) = 24 cm2 and AB = 8 cm, then height of ΔABC is


The medians of a triangle ABC intersect each other at point G. If one of its medians is AD,
prove that:
(i) Area ( ΔABD ) = 3 x Area ( ΔBGD )
(ii) Area ( ΔACD ) = 3 x Area ( ΔCGD )
(iii) Area ( ΔBGC ) = `1/3` x Area ( ΔABC ).


Find the area of a rectangle whose length = 3.6 m breadth = 90 cm


Length of a rectangle is 30 m and its breadth is 20 m. Find the increase in its area if its length is increased by 10 m and its breadth is doubled.


By counting squares, estimate the area of the figure.


The table given below contains some measures of the rectangle. Find the unknown values.

Length Breadth Perimeter Area
13 cm ? 54 cm ?

Look at the table. If you were to write the area of each of these which column would you choose? Make a (✓).

  Square
cm
Square
meter
Square
km
Handkerchief    
Sari      
Page of your book      
School land      
Total land of a city      
Door of your classroom      
Chair seat      
Blackboard      
Indian flag      
Land over which a river flows      

Karunya bought three fields.

Find the area of all three fields.

  • Field (A) ____________ square metre.
  • Field (B) ____________ square metre.
  • Field (C) ____________ square metre.

Area of a rectangle with length 5 cm and breadth 3 cm is ______.


Find all the possible dimensions (in natural numbers) of a rectangle with a perimeter 36 cm and find their areas.


Find the area of the following figure by counting squares:


Find the area of the following figure by counting squares:


What is the area of a closed shape?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×