Home
Class 10
MATHS
(Pythagoras's Theorem) Prove by vector m...

(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.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise SECTION-C|5 Videos

Similar Questions

Explore conceptually related problems

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.

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

Show that in a right angled triangle, the hypotenuse is the longest side.

In a right angled triangle, five times the square on the hypotenuse is equal to four times the sum of the squares on the medians drawn from the acute angles. Prove it.

Prove by vector method that the sum of the square of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

prove by vector method that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

Equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

Equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides.

X BOARD PREVIOUS YEAR PAPER ENGLISH-X Boards-All Questions
  1. Prove that the area of equilateral triangle described on the side of a...

    Text Solution

    |

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

    Text Solution

    |

  3. (Pythagoras's Theorem) Prove by vector method that in a right angled...

    Text Solution

    |

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

    Text Solution

    |

  5. The sum of four consecutive numbers in A.P. is 32 and the ratio of the...

    Text Solution

    |

  6. A wooden article was made by scooping out a hemisphere from each en...

    Text Solution

    |

  7. Find all zeroes of the polynomial 2x^4-9x^3+5x^2+3x-1 if two of its ze...

    Text Solution

    |

  8. A heap of rice is in the form of a cone of base diameter 24m and heig...

    Text Solution

    |

  9. Find HCF and LCM of 404 and 96 and verify that HCF xx LCM= product of ...

    Text Solution

    |

  10. If tan2A=cot(A-18^0), where 2A is an acute angle, find the value of Ad...

    Text Solution

    |

  11. If 4 tan theta =3 evaluate (4sin theta - cos theta+1)/(4sin theta+cos...

    Text Solution

    |

  12. If A(-2,-1),B(a ,0),C(4, b)a n d D(1,2) are the vertices f a parallelo...

    Text Solution

    |

  13. If A(5,7),B(-4,-5),C(-1,-6) and D(4,5) are the vertices of a quadri...

    Text Solution

    |

  14. Prove that the length of the tangents drawn from an external point to ...

    Text Solution

    |

  15. In Fig. 1. ABCD is a rectangle. Find the values of x and y

    Text Solution

    |

  16. Find the area of the shaded region in Fig. 3, where arcs drawn with ce...

    Text Solution

    |

  17. The table below shows Salary of 280 persons. Calculate the median sala...

    Text Solution

    |

  18. Find the value of a so that the point (3,a) lies on the line represent...

    Text Solution

    |

  19. The HCF of two numbers a and b is 5 and their LCM is 200. Find the pro...

    Text Solution

    |

  20. Cards marked with numbers 5 to 50 Cards marked with numbers 5 to 50 ar...

    Text Solution

    |