Home
Class 10
MATHS
Theorem 6.8 : In a right triangle, the s...

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.

Promotional Banner

Topper's Solved these Questions

  • 2020 QUESTION PAPER (1)

    AGRAWAL PUBLICATION|Exercise EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

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'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.

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

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) .

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

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

In order to prove, 'In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of remaining two sides (i) Draw a near labelled figure. (ii) Write 'Given' and 'To Prove' from the figure drawn by you.

Theorem 6.9 : In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.

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.

AGRAWAL PUBLICATION-(2019) QUESTION PAPER-EXAMPLE
  1. Theorem 6.8 : In a right triangle, the square of the hypotenuse is equ...

    Text Solution

    |

  2. Check whether g(x) is a factor of P(x) by dividing polynomial p(x) by ...

    Text Solution

    |

  3. Find the area of the triangle formed by joining the mid-points of the ...

    Text Solution

    |

  4. Draw the graph of the equations x-y+ 1 = 0 and 3x + 2y - 12 = 0. Using...

    Text Solution

    |

  5. Prove that sqrt 3 is an irrational number.

    Text Solution

    |

  6. Find the greatest number which on dividing 1251, 9377 and 15628 leaves...

    Text Solution

    |

  7. A,B and C are interior angles of a triangle ABC. Show that sin[(B+C)/2...

    Text Solution

    |

  8. If angle A = 90^@, then find the value of tan [(B + C)/2]

    Text Solution

    |

  9. If tan(A +B) = 1 and tan(A - B) = 1/ sqrt 3, 0^@ < A + B < 90^@, A>B, ...

    Text Solution

    |

  10. In Figure, PQ is a chord of length 8 cm of a circle of radius 5 cm. Th...

    Text Solution

    |

  11. Prove that opposite sides of a quadrilateral circumscribing a circel s...

    Text Solution

    |

  12. Water in a canal, 6 m wide an 1.5 m deep, is flowing with a speed of 1...

    Text Solution

    |

  13. A class teacher has the following absentee record of 40 students of a ...

    Text Solution

    |

  14. A car has two wipers which do not overlap. Each wiper has a blade of l...

    Text Solution

    |

  15. A pole has to be erected at a point on the boundary of a circular park...

    Text Solution

    |

  16. If m times the m^(th) term of an Arithmetic Progession is equal to n t...

    Text Solution

    |

  17. The sum of the first three numbers is an Arithmetic Progression is 18....

    Text Solution

    |

  18. Construct a triangle ABC with side BC = 6 cm, AB = 5 cm and angle ABC ...

    Text Solution

    |

  19. In Figure, a decorative block is shown which is made of two solids, a ...

    Text Solution

    |

  20. In Figure, a decorative block is shown which is made of two solids, a ...

    Text Solution

    |

  21. A bucket open at the top is in the form of a frustum of a cone with a ...

    Text Solution

    |