Question Answers

4. AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Fig. 7.50). Show that angle A > angle C and angle B > angle D. 4. AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Fig. 7.50). Show that angle A > angle [...]

3. In Fig. 7.49, angle B < angle A and angle C < angle D. Show that AD < BC. 3. In Fig. 7.49 angle B < angle A and angle C < angle D. Show that AD < BC. October 15, 2020 Category: Chapter 7 - Triangles , Maths , NCERT Class 9 ,

2. In Fig. 7.48, sides AB and AC of ΔABC are extended to points P and Q respectively. Also, angle PBC AB. 2. In Fig. 7.48 angle PBC AB. sides AB and AC of ΔABC are extended to points P and Q respectively. Also October 15, 2020 Category: Chapter 7 - Triangles , Maths , [...]

1. Show that in a right-angled triangle, the hypotenuse is the longest side. 1. Show that in a right-angled triangle the hypotenuse is the longest side. October 15, 2020 Category: Chapter 7 - Triangles , Maths , NCERT Class 9 ,

5. ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that angle B = angle C. 5. ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that angle B = angle C. October 15, 2020 Category: Chapter 7 - Triangles , Maths , [...]

4. BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles. 4. BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule prove that the triangle ABC is isosceles. October 15, 2020 Category: Chapter 7 - Triangles , [...]

3. Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ΔPQR (see Fig. 7.40). Show that: (i) ΔABM =~ ΔPQN (ii) ΔABC =~ ΔPQR 3. Two sides AB and BC and median AM of one triangle ABC are respectively equal [...]

2. AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects angle A. 2. AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that (i) AD bisects BC (ii) AD bisects angle A. October 15, 2020 [...]

1. ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see Fig. 7.39). If AD is extended to intersect BC at P, show that (i) ΔABD =~ ΔACD (ii) ΔABP =~ ΔACP (iii) AP bisects angle A as well as [...]

8. Show that the angles of an equilateral triangle are 60° each. 8. Show that the angles of an equilateral triangle are 60° each. October 15, 2020 Category: Chapter 7 - Triangles , Maths , NCERT Class 9 ,