Home
Class 10
MATHS
Prove that, in a right triangle, the squ...

Prove that, in a right triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides. Using the above, do the following:
Prove that, in a `DeltaABC`, if AD is perpendicular to BC, dien `AB^(2) + CD^(2) = AC^(2) + BD^(2)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise HOTS (High Order Thinking Skills)|7 Videos

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (VERY SHORT ANSWER QUESTIONS)|14 Videos

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise SHORT ANSWER QUESTIONS-II|24 Videos

  • REAL NUMBERS

    VK GLOBAL PUBLICATION|Exercise Self -Assessment Test|11 Videos

  • VALUE-BASED QUESTIONS

    VK GLOBAL PUBLICATION|Exercise Unit-VII : (Statistics & Probability)|8 Videos

Similar Questions

Explore conceptually related problems

Prove that is a right angle triangle, the square of the hypotenuse is equal the sum of the squares of other two sides.

Theorem 6.8 : In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.

STATEMENT In a right triangle the square of the hypotenuse equals the sum of the squares of its remaining two sides.

Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Use the above theorem, in the following. If ABC is an equilateral triangle with AD bot BC , then prove that AD^(2) = 3DC^(2) .

PYTHAGORAS THEOREM : In a Right angled triangle; the square of hypotenuse is equal to the sum of the squares of the other two sides.

In aright angled triangle,the square of the hypotenuse is equal to to the sum of squares on the other two sides,prove.Using the above theorem,determine the length of AD in terms of b and c.

(Pythagorass Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

(Pythagoras's Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In DeltaABC AD is perpendicular on side BC if AD^(2)=BD . CD find angleBAC .

VK GLOBAL PUBLICATION-TRIANGLES-LONG ANSWER QUESTIONS
  1. The line drawn from the midpoint of one side of a triangle parallel to...

    Text Solution

    |

  2. ABCD is a trapezium in which AB||DC and its diagonals intersect each ...

    Text Solution

    |

  3. If AD and PM are medians of triangles ABC and PQR, respectively where...

    Text Solution

    |

  4. In Fig. 4.123, ABCD is a trapezium with AB || DC. If Delta AED is sim...

    Text Solution

    |

  5. Prove that the area of an equilateral triangle described on a side of ...

    Text Solution

    |

  6. If the areas of two similar triangles are equal, prove that they ar...

    Text Solution

    |

  7. The areas of the two similar triangles are in the ratio of the square ...

    Text Solution

    |

  8. O is the a point in the interior of Delta ABC, OD bot BC, OE bot AC an...

    Text Solution

    |

  9. The perpendicular from A on side BC of a ABC intersects BC at D such t...

    Text Solution

    |

  10. In an equilateral triangle, prove that three times the square of on...

    Text Solution

    |

  11. Prove that, if a line is drawn parallel to one side of a triangle to i...

    Text Solution

    |

  12. In DeltaABC A = 90^@ and AC | BD, then Show that (a) AB^2=BC.BD (b) A...

    Text Solution

    |

  13. Diagonals of a trapezium ABCD with AB || DC intersect each other at...

    Text Solution

    |

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

    Text Solution

    |

  15. In a triangle, if the square on one side is equal to the sum of the sq...

    Text Solution

    |

  16. ABC is a triangle in which AB = AC and D is a point on AC such that ...

    Text Solution

    |

  17. Prove that the area of an equilateral triangle described on one sid...

    Text Solution

    |

  18. D and E are points on the sides CA and CB respectively of a triangle ...

    Text Solution

    |