Home
Class 10
MATHS
triangle ABC figure, AD bot BC. Prove th...

`triangle ABC` figure, `AD bot BC`. Prove that `AC^2` = `AB^2 + BC^2 - 2BC xx BD`

Promotional Banner

Topper's Solved these Questions

  • STATISTICS AND PROBABILITY

    AGRAWAL PUBLICATION|Exercise EXAMPLE|124 Videos

Similar Questions

Explore conceptually related problems

In a Delta ABC , angleB is an acute-angle and AD bot BC Prove that : (i) AC^(2) = AB^(2) + BC^(2) - 2 BC xx BD (ii) AB^(2) + CD^(2) = AC^(2) + BD^(2)

In fig. /_B of /_\ABC is an acute angle and AD _|_ BC ; prove that AC^2 = AB^2 + BC^2 - 2 BC xx BD

In figure,/_B<90^(@) and AD perp BC .Prove that AC^(2)=AB^(2)+BC^(2)-2BC.BD

In the figure , ABC is triangle in which angleABClt90^(@)andADbotBC . Prove that AC^(2)=AB^(2)+BC^(2)-2BC*BD .

(Result on obtuse triangle) In Fig.4.183,ABC is an obtuse triangle,obtuse angled at B. If AD perp CB ,prove that AC^(2)=AB^(2)+BC^(2)+2BC xx BD (FIGURE)

In the given figure if AD bot BC prove that AB^(2)+CD^(2)= BD^(2) +AC^(2)

(Result on acute triangle) In Fig.4.184,/_B of ABC is an acute angle and AD perp BC, prove that AC^(2)=AB^(2)+BC^(2)-2BC xx BD

In a Delta ABC, /_ B is an acute-angle and AD bot BC . Prove that: AB^2 + CD^2 = AC^2 + BD^2

In Figure 2,AD perp BC. Prove that AB^(2)+CD^(2)=BD^(2)+AC^(2)

In the given figure, Delta ABC is an obtuse triangle, obtuse-angled at B. If AD bot CB (produced ) prot that AC^(2)=AB^(2)+BC^(2)+2BC*BD

AGRAWAL PUBLICATION-TRIANGLES-EXAMPLE
  1. Two right triangles ABC and DBC are drawn on the same hypotenuse BC an...

    Text Solution

    |

  2. Diagonals of a trapezium PQRS intersect each other at the point O, PQ|...

    Text Solution

    |

  3. In the given figure, if angle ACB = angle CDA, AC = 8 cm and AD = 3 cm...

    Text Solution

    |

  4. A 15 metres high tower coasts a shadow 24 metres long at a certain tim...

    Text Solution

    |

  5. If P and Q are the points on side CA and CB, respectively of triangle ...

    Text Solution

    |

  6. If the area of two similar triangles are equal, prove that they are co...

    Text Solution

    |

  7. There is a circular park of radius 24 m and there is a pole at a dista...

    Text Solution

    |

  8. There is a circular park of radius 24 m and there is a pole at a dista...

    Text Solution

    |

  9. D, E and F are respectively the mid points of the sides AB, AC and BC ...

    Text Solution

    |

  10. A flag pole 18 m high casts a shadow 9.6m long. Find the distance of t...

    Text Solution

    |

  11. If a line is drawn parallel to one side of a triangle to intersect oth...

    Text Solution

    |

  12. In the given figure, if PQRS is a parallelogram and AB||PS, then prove...

    Text Solution

    |

  13. triangle ABC figure, AD bot BC. Prove that AC^2 = AB^2 + BC^2 - 2BC xx...

    Text Solution

    |

  14. Prove that in a right angle triangle, the square of the hypotenuse is ...

    Text Solution

    |

  15. For going to city B from city A, there is a route via city C such that...

    Text Solution

    |

  16. In triangle PQR, PD bot QR such that D lies on QR. If PQ = a, PR = b, ...

    Text Solution

    |

  17. In an equilateral triangle ABC, D is a point on side BC such that BD =...

    Text Solution

    |

  18. In the given figure,l||m and line segments AB, CD and EF are concurren...

    Text Solution

    |

  19. In the given figure, PA, QB, RC and SD are all perpendiculars to a lin...

    Text Solution

    |

  20. Prove that the area of the semicircle drawn on the hypotenuse of a rig...

    Text Solution

    |