Home
Class 10
MATHS
Pythagoras Theorem...

Pythagoras Theorem

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • TRIANGLE

    CBSE COMPLEMENTARY MATERIAL|Exercise Short Answer Type Questions-I|10 Videos

  • TRIANGLE

    CBSE COMPLEMENTARY MATERIAL|Exercise Short Answer Type Questions-II|25 Videos

  • TRIANGLE

    CBSE COMPLEMENTARY MATERIAL|Exercise Short Answer Type Questions-II|25 Videos

  • SURFACE AREA AND VOLUME

    CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICE TEST ( SECTION-D)|1 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC , /_C is an acute angle, seg AD bot seg BC . Prove AB^(2)=BC^(2)+AC^(2)-2BCxxDC by completing the following activity. Let AB=c , AC=b , AD=p , BC=a , DC=x :.BD=a-x In DeltaADB , by Pythagoras theorem, c^(2)=(a-x)^(2)+square c^(2)=a^(2)-2ax+x^(2)+square ........... (1) In DeltaADC , by Pythagoras theorem, b^(2)=p^(2)+square p^(2)=b^(2)-square .......... (2) Substituting value of p^(2) from (2) in (1) c^(2)=a^(2)-2ax+x^(2)+square c^(2)=a^(2)+b^(2)-square :.AB^(2)=BC^(2)+AC^(2)-2BCxxDC .

Theorems

Theorems

(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.

Without using Pythagoras's theorem, show that the points A(1, 2), B(4, 5) and C(6, 3) are the vertices of a right-angled triangle.

Which of following does not form a Pythagoras triplet ?

Pythagoras was a student of

CBSE COMPLEMENTARY MATERIAL-TRIANGLE-Very Short Answer Type Questions -State True or False :
  1. State the basic proportionality theorem.

    Text Solution

    |

  2. Thales Theorem ( Basic Proportionality Theorem)

    Text Solution

    |

  3. Pythagoras Theorem

    Text Solution

    |

  4. Sides of two similar triangles are in the ratio 4:9 . Areas of t...

    Text Solution

    |

  5. Match the Following:

    Text Solution

    |

  6. In the following figure, XY||QR and (PX)/(XQ)=(PY)/(YR)=1/2" then"

    Text Solution

    |

  7. In the following figure, QA bot AB and PB bot AB, then AQ is

    Text Solution

    |

  8. Theorem 6.6 : The ratio of the areas of two similar triangles is equal...

    Text Solution

    |

  9. The areas of two similar triangles are 144cm^2 and 81cm^2. If one medi...

    Text Solution

    |

  10. In a right triangle ABC, in which angleC = 90^@ amd CD bot AB. If BC =...

    Text Solution

    |

  11. If triangleABC ~ triangleDEF, ar(triangleDEF) =100cm^(2) and (AB)/(DE)...

    Text Solution

    |

  12. If the three sides of a triangle are a, sqrt3a and sqrt2a, then the me...

    Text Solution

    |

  13. vertical pole of length 3 m casts a shadow of 7 m and a tower casts a ...

    Text Solution

    |

  14. The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, t...

    Text Solution

    |

  15. If triangleABC ~ triangleEDF and triangleABC is not similar to triangl...

    Text Solution

    |

  16. Pythagoras theorem

    Text Solution

    |

  17. State the basic proportionality theorem.

    Text Solution

    |

  18. Is the triangle with sides 12 cm, 16 cm and 18 cm a right triangle?

    Text Solution

    |

  19. If triangleABC ~ triangleQRP, ("Area "(triangleABC))/("Area"(triangleP...

    Text Solution

    |

  20. In the given Fig., angleM =angleN =46^(@), Express x in terms of a, b ...

    Text Solution

    |