Home
Class 9
MATHS
Show that : (i) a diagonal divides a p...

Show that :
(i) a diagonal divides a parallelogram into two triangles of equal area.
(ii) the ratio of the areas of two triangles of the same height is equal to the ratio of their bases.
(iii) the ratio of the areas of two triangles on the same base is equal to the ratio of their heights.

Answer

Step by step text solution for Show that : (i) a diagonal divides a parallelogram into two triangles of equal area. (ii) the ratio of the areas of two triangles of the same height is equal to the ratio of their bases. (iii) the ratio of the areas of two triangles on the same base is equal to the ratio of their heights. by MATHS experts to help you in doubts & scoring excellent marks in Class 9 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AREA THEOREMS

    ICSE|Exercise Exercies 16(C )|22 Videos
  • AREA THEOREMS

    ICSE|Exercise Exercies 16(A)|36 Videos
  • AREA AND PERIMETER OF PLANE FIGURES

    ICSE|Exercise EXERCISE 20(D)|12 Videos
  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise DISTANCE FORMULA |12 Videos

Similar Questions

Explore conceptually related problems

Prove that A diagonal of a parallelogram divides it into two triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

The ratio of the volumes of two cones of same base is 8 : 27. Find the ratio of their heights.

Prove that a median divides a triangle into two triangles of equal area.

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

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

Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

The base radii of two right circular cones of the same height are in the ratio 3:5. Find the ratio of their volumes.