Home
Class 9
MATHS
In the given figure ABC is a triangle an...

In the given figure ABC is a triangle and D is the mid-point of BC. AD is produced to E. BM and CN are two perpendiculars dropped from B and C respectively on AE.
Prove that : (i) `Delta BMD ~= Delta CND` (ii) BM = CN

Promotional Banner

Topper's Solved these Questions

  • ICSE EXAMINATION PAPER 2020

    ICSE|Exercise SECTION - B |21 Videos

  • GRAPHICAL SOLUTION(SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS, GRAPHICALLY)

    ICSE|Exercise EXAMPLES|6 Videos

  • INDICES (EXPONENTS)

    ICSE|Exercise 4 Marks Questions|9 Videos

Similar Questions

Explore conceptually related problems

In the given figure ABC is a triangle and D is the mid-point of BC. AD is produced to E. BM and CN are two perpendiculars dropped from B and C respectively on AE. Prove that : BM=CN

In the given figure ABC is a triangle and D is the mid-point of BC. AD is produced to E. BM and CN are two perpendiculars dropped from B and C respectively on AE. Prove that : DeltaBMD~=DeltaCND

In the adjoining figure, D is the mid-point of BC. If BM and CN are perpendiculars from B and C respectively on AD and AD produced, then prove that BM = CN.

In the adjoining figure, BM and DN are the perpendiculars from B and D respectively to AC such that BM = DN. Prove that BO = OD.

In a triangle ABC,D is the mid - point of BC, AD is produced upto E so that DE = AD. Prove that : AB=EC

ABC is a triangle. D is the middle point of BC. If AD is perpendicular to AC, The value of cos A cos C , is

A B C is a triangle and D is the mid-point of B C . The perpendiculars from D to A B and A C are equal. Prove that the triangle is isosceles.

A B C is a triangle and D is the mid-point of B C . The perpendiculars from D to A B and A C are equal. Prove that the triangle is isosceles.

The following figure shows a triangle ABC in which AD and BE are perpendiculars to BC and AC respectively. Show that : Delta ADC ~ DeltaBEC

The following figure shows a triangle ABC in which AD and BE are perpendiculars to BC and AC respectively. Show that : DeltaABC ~ DeltaDEC

ICSE-ICSE EXAMINATION PAPER 2020 -SECTION - B
  1. In the given figure ABC is a triangle and D is the mid-point of BC. AD...

    Text Solution

    |

  2. If 13 sin A = 12 Find sec A - tan A.

    Text Solution

    |

  3. A sum of Rs. 10,000 yields Rs. 3310 as compound interest in 3 years. I...

    Text Solution

    |

  4. In the given figure O is the centre of the two concentric circles. A l...

    Text Solution

    |

  5. If the mean of the observations a, a + 6, a + 2, a + 8 and a + 4 is 11...

    Text Solution

    |

  6. Factorize : 25a^(2) - 9b^(2) + 12bc - 4c^(2)

    Text Solution

    |

  7. In the given figure ABCD is trapezium, P is the mid-point of side AD a...

    Text Solution

    |

  8. Solve the following pair of linear equations using cross multiplicatio...

    Text Solution

    |

  9. In the given figure ABCD is a quadrilateral. BP is drawn parallel to A...

    Text Solution

    |

  10. The cost of moving a circular field at Rs. 16 per sq m is Rs. 2464, fi...

    Text Solution

    |

  11. In the given triangle ABC, AD bot BC. AB = 13 cm, BD = 5 cm, DC = 4 cm...

    Text Solution

    |

  12. log(2)a = 3, log(3)b = 2, log(4) c = 1 Find the value of 3a + 2b - 1...

    Text Solution

    |

  13. Use graph paper for this equation. Draw the graph of 3x-2y=5 and 2x=3y...

    Text Solution

    |

  14. Solve for x. (root(3)((3)/(5)))^(2x + 1) = (125)/(27)

    Text Solution

    |

  15. If 1 is subtracted from the numerator of a fraction is becomes (2)/(3)...

    Text Solution

    |

  16. In the given figure, PQR is a triangle where PS, QS and RS are the bis...

    Text Solution

    |

  17. Evaluate without using trigonometric tables : tan 20.tan 40^(@) tan ...

    Text Solution

    |

  18. Factorize : x^(3) - 3x^(2) + x - 3

    Text Solution

    |

  19. In the given figure, 'O' is the centre of the circle, Arc AB = Arc BC ...

    Text Solution

    |

  20. ABCD is a parallelogram in which angle DAB = 80^(@). Bisector of angle...

    Text Solution

    |

  21. Given three points P(-1, 2), A(2, k) and B(k, -1). Given that PA = PB....

    Text Solution

    |