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 ABCD is a parallelogram, then prove that
๐‘Ž๐‘Ÿ (Δ๐ด๐ต๐ท) = ๐‘Ž๐‘Ÿ (Δ๐ต๐ถ๐ท) = ๐‘Ž๐‘Ÿ (Δ๐ด๐ต๐ถ) = ๐‘Ž๐‘Ÿ (Δ๐ด๐ถ๐ท) = `1/2` ๐‘Ž๐‘Ÿ (||๐‘”๐‘š ๐ด๐ต๐ถ๐ท) .


In below fig., PSDA is a parallelogram in which PQ = QR = RS and AP || BQ || CR. Prove
that ar (Δ PQE) = ar (ΔCFD).


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).


In the given figure, find the area of ΔGEF.

 

Medians of ΔABC intersect at G. If ar (ΔABC) = 27 cm2, then ar (ΔBGC) =


In the given figure, PQRS is a parallelogram. If X and Y are mid-points of PQ and SRrespectively and diagonal Q is joined. The ratio ar (||gm XQRY) : ar (ΔQSR) =


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 and breadth are 25 m and 16 cm.


The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board.


A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.


Find the area of a square, whose side is: 4.5 cm.


The side of a square field is 16 m. What will be increase in its area, if each of its sides is increased by 4 m?


Look at a 10 rupee note. Is its area more than hundred square cm?


In the same way, find the area of piece B.


If each square on this page is equal to 1 square meter of land, how much land will each of her children get? ________ square m


The King was very happy with carpenters Cheggu and Anar. They had made a very big and beautiful bed for him. So as gifts the king wanted to give some land to Cheggu, and some gold to Anar. Cheggu was happy. He took 100 meters of wire and tried to make different rectangles.

He made a 10 m × 40 m rectangle. Its area was 400 square meters. So he next made a 30 m × 20 m rectangle.

  • What is its area? Is it more than the first rectangle?

Whose footprint is larger - yours or your friend’s?


Find the area of the following figure by counting squares:


Find the area of the following figure by counting squares:


Share
Notifications

Englishเคนเคฟเค‚เคฆเฅ€เคฎเคฐเคพเค เฅ€


      Forgot password?
Use app×