Chapter 7 – Triangles
11. In Fig. 7.8, AD is the bisector of ∠BAC. Prove that AB > BD.
30
Jun
11. In Fig. 7.8, AD is the bisector of ∠BAC. Prove that AB > BD. 11. In Fig. 7.8 AD is the bisector of ∠BAC. Prove that AB > BD. June 30, 2021 Category: Chapter 7 - Triangles , Maths , NCERT Class 9 ,
10. Bisectors of the angles B and C of an isosceles triangle ABC with AB = AC intersect each other at O. Show that external angle adjacent to ∠ABC is equal to ∠BOC.
30
Jun
10. Bisectors of the angles B and C of an isosceles triangle ABC with AB = AC intersect each other at O. Show that external angle adjacent to ∠ABC is equal to ∠BOC. 10. Bisectors of the angles B and C of an isosceles triangle ABC with AB = AC intersect each other at O. [...]
9. Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Prove that ∠MOC = ∠ABC.
30
Jun
9. Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Prove that ∠MOC = ∠ABC. 9. Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO [...]
8. In Fig. 7.7, l || m and M is the mid-point of a line segment AB. Show that M is also the mid-point of any line segment CD, having its end points on l and m, respectively.
30
Jun
8. In Fig. 7.7, l || m and M is the mid-point of a line segment AB. Show that M is also the mid-point of any line segment CD, having its end points on l and m, respectively. 8. In Fig. 7.7 having its end points on l and m l || m and M [...]
7. D is any point on side AC of a ∆ ABC with AB = AC. Show that CD < BD.
30
Jun
7. D is any point on side AC of a ∆ ABC with AB = AC. Show that CD
6. S is any point on side QR of a ∆ PQR. Show that: PQ + QR + RP > 2 PS.
30
Jun
6. S is any point on side QR of a ∆ PQR. Show that: PQ + QR + RP > 2 PS. 6. S is any point on side QR of a ∆ PQR. Show that: PQ + QR + RP > 2 PS. June 30, 2021 Category: Chapter 7 - Triangles , Maths , [...]
5. Q is a point on the side SR of a ∆ PSR such that PQ = PR. Prove that PS > PQ.
30
Jun
5. Q is a point on the side SR of a ∆ PSR such that PQ = PR. Prove that PS > PQ. 5. Q is a point on the side SR of a ∆ PSR such that PQ = PR. Prove that PS > PQ. June 30, 2021 Category: Chapter 7 - Triangles , [...]
4. In Fig.7.6, BA ⊥ AC, DE ⊥ DF such that BA = DE and BF = EC. Show that ∆ ABC ≅ ∆ DEF.
30
Jun
4. In Fig.7.6, BA ⊥ AC, DE ⊥ DF such that BA = DE and BF = EC. Show that ∆ ABC ≅ ∆ DEF. 4. In Fig.7.6 BA ⊥ AC DE ⊥ DF such that BA = DE and BF = EC. Show that ∆ ABC ≅ ∆ DEF. June 30, 2021 Category: Chapter [...]
3. CDE is an equilateral triangle formed on a side CD of a square ABCD (Fig.7.5). Show that ∆ ADE ≅ ∆ BCE.
30
Jun
3. CDE is an equilateral triangle formed on a side CD of a square ABCD (Fig.7.5). Show that ∆ ADE ≅ ∆ BCE. 3. CDE is an equilateral triangle formed on a side CD of a square ABCD (Fig.7.5). Show that ∆ ADE ≅ ∆ BCE. June 30, 2021 Category: Chapter 7 - Triangles , [...]
2. In Fig.7.4, D and E are points on side BC of a ∆ ABC such that BD = CE and AD = AE. Show that ∆ ABD ≅ ∆ ACE.
30
Jun
2. In Fig.7.4, D and E are points on side BC of a ∆ ABC such that BD = CE and AD = AE. Show that ∆ ABD ≅ ∆ ACE. 2. In Fig.7.4 D and E are points on side BC of a ∆ ABC such that BD = CE and AD = AE. [...]