Home
Class 9
MATHS
ABC is a triangle, right angled at B, M ...

ABC is a triangle, right angled at B, M is a point on BC. Prove that :
`AM^(2) + BC^(2) = AC^(2) + BM^(2)`

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 Fig. 3, ABC is a right triangle, right angled at C and D is the mid-point of BC. Prove that AB^2 = 4AD^2 - 3AC^2 .

ABC is a triangle in which AB = AC and D is any point on BC. Prove that: AB^(2)- AD^(2) = BD. CD

In a right triangle ABC, right angled at A, AD is drawn perpendicular to BC. Prove that: AB^(2)-BD^(2)= AC^(2)-CD^(2)

ABC is a isosceles right angled triangle, right angled at C. prove that AB^(2) = 2AC^(2)

In the given figure, triangle ABC is a right triangle with angleB=90^(@) and D is mid-point of side BC. Prove that : AC^(2)=AD^(2)+3CD^(2)

The following figures shows a triangle ABC in which AD is median and AE bot BC. Prove that : 2AB ^(2) + 2AC^(2) = 4AD^(2)+ BC^(2)

The following figure shows a triangle ABC in which AD is a median and AE bot BC . Prove that 2AB^(2)+ 2AC^(2) = 4AD^(2) + BC^(2) .

In an acute angled triangle ABC, AD is the median in it. Prove that : AD^(2) = (AB^(2))/2 + (AC^(2))/2 - (BC^(2))/4

ABC is a triangle right angled at C. If AB=25cm and AC=7cm, find BC.

In an equilateral triangle ABC, BE is perpendicular to side CA. Prove that: AB^(2) + BC^(2) +CA^(2) = 4BE^(2)

ICSE-ICSE EXAMINATION PAPER 2020 -SECTION - B
  1. ABC is a triangle, right angled at B, M is a point on BC. Prove that :...

    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

    |