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

Prove that in a right traiangle, the square of the hypotemuse is equal to the sum of the squares of the other two sides.

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    R G PUBLICATION|Exercise EXERCISE|95 Videos

  • MODEL PAPER 2

    R G PUBLICATION|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

prove by using the principle of similar triangles that: in a right angle triangle, the square on the hypotenuse is equal to the sum of squares on the two other sides. (Pythagoras theorem)

Fill in the gap : Pythagoras Theorem states that in a right angle, the square of hypotenuse is _______ to the sum of the square of the other two sides.

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

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of the bisectors of the corresponding angles of the triangles. [The end-points of the angular bisectors are on the opposite sides of the angles.]

Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angle triangle is equal to the sum of the areas of the equilateral triangles drawn on the other two sides.

In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of the corresponding altitudes of the triangles.

Prove that the sum of the squares drawn on the sides of a square is equal to the sum of the squares drawn on its diagonals.

Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

The atitude of a right triangle is 7 cm less than its base.If the hypotenuse is 13 cm,find the other two sides.

R G PUBLICATION-MODEL PAPER 1-EXERCISE
  1. If A,B,C are the interior angles of ABC, then prove that cos((A+B)/2)=...

    Text Solution

    |

  2. Prove that sqrt5 is irrational.

    Text Solution

    |

  3. If alpha and beta are the two zeroes of the quadratic polynomial x^2-3...

    Text Solution

    |

  4. Prove that (1-sintheta)/(1+sintheta)=(sectheta-tantheta)^2.

    Text Solution

    |

  5. Prove that in a right traiangle, the square of the hypotemuse is equal...

    Text Solution

    |

  6. Show that any positive even integer is of the form 6q, 6q+2 ,6q+4.

    Text Solution

    |

  7. In the figure ,DeltaABC is right angles at B, BC=7cm and AC-AB=1cm. Fi...

    Text Solution

    |

  8. In figure D,E,F are midpoints of sides BC,CA,AB respectively of DeltaA...

    Text Solution

    |

  9. Find the coordinates of a point A,where AB is the diameter of a circle...

    Text Solution

    |

  10. 2 cubes each of volume 64cm^3 are joined end to end.Find the surface a...

    Text Solution

    |

  11. Prove that parallelogram circumscribing a circle is a rhombus.

    Text Solution

    |

  12. In what ratio does the x-axis divide the line segment joining the poin...

    Text Solution

    |

  13. If all the sides of a parallelogram touch a circle, show that the para...

    Text Solution

    |

  14. AB and CD are two parallel tangents to a circle with centre O. ST is a...

    Text Solution

    |

  15. The angle of elevation of an aeroplane from a point A on the ground is...

    Text Solution

    |

  16. A well of diameter 3 m is dug 14 m deep.They earth taken out of it has...

    Text Solution

    |

  17. Without using trigonometric tables, evaIuate the following:sec37^@/(co...

    Text Solution

    |

  18. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue ba...

    Text Solution

    |

  19. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue ba...

    Text Solution

    |

  20. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue ba...

    Text Solution

    |