Home
Class 10
MATHS
Is the triangle with sides 25 cm, 5 cm a...

Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reason for your answer.

A

No, not satisfy pythagoras theorem

B

Yes

C

not sure

D

No, not satisfied Thales Theorem

Text Solution

Verified by Experts

The correct Answer is:
A

False
Let a =25 cm, b= 5 cm and c =24 cm
Now, `b^(2)+c^(2)=(5)^(2)+(24)^(2)`
=25+576=601`ne(25)^(2)`
Hence, given sides do not make a right triangle because it does not satisfy the property of Pythagoras theorem.
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    NCERT EXEMPLAR|Exercise Surface Areas And Volumes|62 Videos

Similar Questions

Explore conceptually related problems

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

Is it possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm? Give reason for your answer.

Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.

Is it possible to construct a triangle with length of its sides as 8 cm ,7 cm and 4 cm ? Give reason for your answer

Do sides 7 cm , 24 cm , 25 cm from a right angled triangle ? Give reason .

Do sides 7cm , 24cm , 25cm form a right angled triangle? Give reason.

Can a right triangle with sides 6cm, 10cm and 8cm be formed? Give reason.

The lengths of three segments are given for constructing a triangle. Say whether a triangle with these sides can be drawn or not. Give the reason for your answer : 7 cm, 24 cm, 25 cm

The lengths of three segments are given for constructing a triangle. Say whether a triangle with these sides can be drawn or not. Give the reason for your answer : 17 cm, 7 cm, 8cm

NCERT EXEMPLAR-TRIANGLES-Triangles
  1. If DeltaABC~DeltaQRP,(ar(DeltaABC))/(ar(DeltaPQR))=9/4, AB=18 cm and B...

    Text Solution

    |

  2. If S is a point on side PQ of a DeltaPQR such that PS=QS=RS, then

    Text Solution

    |

  3. Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Giv...

    Text Solution

    |

  4. It is given that DeltaDEF~DeltaRPQ. Is it true to say that angleD = an...

    Text Solution

    |

  5. A and B are respectively the points on the sides PQ and PR of a Delta ...

    Text Solution

    |

  6. In figure BD and CE intersect each other at the point P. IsDeltaPBC~De...

    Text Solution

    |

  7. In DeltaPQR and DeltaMST, angleP=55^(@),angleQ=25^(@),angleM=100^(@)an...

    Text Solution

    |

  8. Is the following statement true? Why? "Two quadrilaterals are similar,...

    Text Solution

    |

  9. Two sides and the perimeter of one triangle are respectively three tim...

    Text Solution

    |

  10. If in two right triangles, one of the acute angles of one triangle is ...

    Text Solution

    |

  11. The ratio of the corresponding altitudes of two similar triangles is 3...

    Text Solution

    |

  12. D is a point on side QR of DeltaPQR such that PDbotQR. Will it be corr...

    Text Solution

    |

  13. In figure, if angleD=angleC, then it is true that DeltaADE~DeltaACB? W...

    Text Solution

    |

  14. Is it true to say that, if in two triangles, an angle of one triangle ...

    Text Solution

    |

  15. In P Q R ,\ \ Q M|P R and PR^2-P Q^2=Q R^2.Prove that Q M^2=P MxxM R

    Text Solution

    |

  16. Find the value of x for which DEabs()AB in given figure.

    Text Solution

    |

  17. In figure, if angle1=angle2 and DeltaNSQ=DeltaMTR, then prove that Del...

    Text Solution

    |

  18. Diagonals of a trapezium PQRS intersect each other at the point 0 ,PQa...

    Text Solution

    |

  19. In figure , if ABabs()DC and AC, PQ intersect each other at the point ...

    Text Solution

    |

  20. Find the altitude of an equilateral triangle of side 8 cm.

    Text Solution

    |