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Example 4 : In Fig. 9.22, ABCD is a quadrilateral and BE ∣∣ AC and also BE meets DC produced at E. Show that area of ΔADEis equal to the area of the quadrilateral ABCD.
15
Oct
Example 4 : In Fig. 9.22, ABCD is a quadrilateral and BE ∣∣ AC and also BE meets DC produced at E. Show that area of ΔADEis equal to the area of the quadrilateral ABCD. ABCD is a quadrilateral and BE ∣∣ AC and also BE meets DC produced at E. Show that area of [...]
Example 3 : Show that median of a triangle divides it into two triangles of equal area.
15
Oct
Example 3 : Show that median of a triangle divides it into two triangles of equal area. Example 3 : Show that median of a triangle divides it into two triangles of equal area. October 15, 2020 Category: Chapter 9 - Areas of Parallelogram and Triangles , Maths , NCERT Class 9 ,
Example 2 : If a triangle and a parallelogram lie on the same base and between the same parallels, then prove that area of the triangle is equal to half of the area of parallelogram.
15
Oct
Example 2 : If a triangle and a parallelogram lie on the same base and between the same parallels, then prove that area of the triangle is equal to half of the area of parallelogram. Example 2 : If a triangle and a parallelogram lie on the same base and between the same parallels then [...]
Example 1 : In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle. Also, AL⊥DC. Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = DC × AL
15
Oct
Example 1 : In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle. Also, AL⊥DC. Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = DC × AL ABCD is a parallelogram and EFCD is a rectangle. Also AL⊥DC. Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = [...]
16. In Fig.9.29, ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums.
15
Oct
16. In Fig.9.29, ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums. 16. In Fig.9.29 ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums. October 15, 2020 Category: Chapter 9 - Areas of Parallelogram and Triangles , Maths , [...]
15. Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar(△AOD) = ar(△BOC). Prove that ABCD is a trapezium.
15
Oct
15. Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar(△AOD) = ar(△BOC). Prove that ABCD is a trapezium. 15. Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar(△AOD) = ar(△BOC). Prove that ABCD is a trapezium. October 15, 2020 [...]
14. In Fig.9.28, AP || BQ || CR. Prove that ar(△AQC) = ar(△PBR).
15
Oct
14. In Fig.9.28, AP || BQ || CR. Prove that ar(△AQC) = ar(△PBR). 14. In Fig.9.28 AP || BQ || CR. Prove that ar(△AQC) = ar(△PBR). October 15, 2020 Category: Chapter 9 - Areas of Parallelogram and Triangles , Maths , NCERT Class 9 ,
13. ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (△ADX) = ar (△ACY).
15
Oct
13. ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (△ADX) = ar (△ACY). 13. ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (△ADX) [...]
12. A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwaari agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how this proposal will be implemented.
15
Oct
12. A villager Itwaari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwaari agrees to the above proposal with the condition that he should be given equal [...]
11. In Fig. 9.27, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (i) ar(△ACB) = ar(△ACF) (ii) ar(AEDF) = ar(ABCDE)
15
Oct
11. In Fig. 9.27, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (i) ar(△ACB) = ar(△ACF) (ii) ar(AEDF) = ar(ABCDE) 11. In Fig. 9.27 ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (i) ar(△ACB) = [...]