Home
Class 10
MATHS
In a right angled triangle, if sum of th...

In a right angled triangle, if sum of the squares of the sides making right angle is 169 then what is the length of the hypotenuse? a)12 b)13 c)15 d)5

A

15

B

13

C

5

D

12

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PYTHAGORAS THEOREM

    CHETANA PUBLICATION|Exercise EXERCISE|39 Videos
  • Probability

    CHETANA PUBLICATION|Exercise EXERCISE|45 Videos
  • Quadratic Equations

    CHETANA PUBLICATION|Exercise EXERCISE|98 Videos

Similar Questions

Explore conceptually related problems

The length of median on hypotenuse of a right angled triangle is 7 cm . Find the length of the hypotenuse.

To construct a right angled triangle given the hypotenus and one side.

If the lengths of the sides of a triangle are 3, 5, 7 , then its largest angle of the triangle is

The length of hypotenuse of a right angled triangle is 15. Find the length of median of its hypotenuse.

Altitude on the hypotenuse of a right angle triangle divides it in two parts of length 4 cm and 9 cm. Find the length of the altitude. a) 9cm b) 4cm c) 6cm d) 18cm

In a right angled triangle, the acute angles are in the ratio 4:5.Find the angles of the triangle in degree and radian.

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

Height and base of a right angled triangle are 24 cm and 18 cm, find the length of its hypotenuse. a) 24cm b) 30cm c) 15cm d) 18cm

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.

CHETANA PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. Out of the following which is a Pythagorean triplet? a) (1,5,10) b) (3...

    Text Solution

    |

  2. In a right angled triangle, if sum of the squares of the sides making ...

    Text Solution

    |

  3. Which data constitutes a Pythagorean triplet? a) (15,8,17) b) (16,8,16...

    Text Solution

    |

  4. If a, b, c are sides of a triangle and a^2+b^2=c^2, then name the type...

    Text Solution

    |

  5. Find perimeter of a square if its diagonal is 10sqrt 2 cm. a) 10 cm b)...

    Text Solution

    |

  6. Altitude on the hypotenuse of a right angle triangle divides it in two...

    Text Solution

    |

  7. Height and base of a right angled triangle are 24 cm and 18 cm, find t...

    Text Solution

    |

  8. In triangle ABC, AB=6 sqrt 3 cm, AC=12 cm, BC=6 cm. Find measure of /B

    Text Solution

    |

  9. In triangle RST, /S=90^@, RT=12 m, ST=8m. Find RS=……a) 10sqrt2m b) 5sq...

    Text Solution

    |

  10. In triangle PQR, /PQR=90^@, QM|PR, PM=16 and RM =9 then QM=……a)12 b)25...

    Text Solution

    |

  11. In triangle ABC,/B=90^@,/C=30^@,AB=6 cm then AC=…………

    Text Solution

    |

  12. In triangle PQR, /Q=90^@, PQ=QR=5sqrt 2. PR=10 then /P=……a)45^@ b)30...

    Text Solution

    |

  13. Which of the following is a Pythagorean triplet?

    Text Solution

    |

  14. In triangle QSR,m/Q=45^@,m/S=90^@ and SR=4, find QS.

    Text Solution

    |

  15. Apollonius Theorem is a theorem relating the length of ………..and sides ...

    Text Solution

    |

  16. In the adjoining figure,AB^2+AC^2=122,BC=10,then find AQ………..

    Text Solution

    |

  17. In triangle PQR, m/PQR=90^@, seg QS|hypPR, then: a)PS^2=QS xx PR b)QS^...

    Text Solution

    |

  18. In which of the following quadrilateral, sum of squares of all sides i...

    Text Solution

    |

  19. In triangle XYZ, /Y=90^@, /Z=a^@, /X=(a+30)^@. If XZ=24, find XY and Y...

    Text Solution

    |

  20. Sides of triangle are given as 8,15,17. Determine if it is a right ang...

    Text Solution

    |