Home
Class 10
MATHS
PSis perpendicular on the hypotenuse QR ...

`PS`is perpendicular on the hypotenuse `QR` of the right-angled triangle `PQR`. If `QR=16cm` and `QS=9cm`, then find the length of `PQ`.

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos
  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos
  • SAMPLE QUESTIONS PAPERS

    CALCUTTA BOOK HOUSE|Exercise QUESTION|157 Videos
  • SIMPLE INTEREST

    CALCUTTA BOOK HOUSE|Exercise Long-answer type questions|37 Videos

Similar Questions

Explore conceptually related problems

If the length of the hypotenuse of right-angled isoceles triangle be 12sqrt(2)cm , then find its area.

The length of the hypotenuse of the right-angled triangle and its perimeter be 13 cm and 30 cm respectively. Find the area of the triangle.

If the sides of a right-angled triangle be (x - 2) cm, x cm and (x +2) cm, then what is the length of its hypotenuse ?

The base of a right angled triangle is 12 cm and the three sides are in A.P. Find the length of the hypotenuse.

(iii) In the right-angled triangle ABC, angle ABC=90^@ and AB=5 cm and BC=12 cm, then find its length of circum-radius.

In a right angled triangle angleABC = 90 and BD bot AC . If BD = 88 cm and AD = 4cm then find the length of CD.

(v) If the circum-radius of the right-angled triangle ABC be 5 cm, then the length of its hypotenuse will be-

The length of the hypotenuse of the right - angled triangle with vertices (7,9) (3,-7) and (-3,3) is

The perimeter of a right-angled triangle is 60 cm and hypotenuse is 26 cm. Find the lengths of its other two sides.

CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.1
  1. If two or more than two triangles be equiangular and the ratios of the...

    Text Solution

    |

  2. If the shapes and sizes of two or more than two triangles be the same,...

    Text Solution

    |

  3. A straight line parallel to any side of any triangle divides other two...

    Text Solution

    |

  4. PQRS is a trapezium of which PS||QR. Its two diagonals PR and QS inter...

    Text Solution

    |

  5. In DeltaABC a straight line parallel to BC intersects the sides AB and...

    Text Solution

    |

  6. The line segments AB and PQ intersect each other at the point C. AP an...

    Text Solution

    |

  7. In DeltaPQR, /QPR=90^(@) and PDbotQR. If PR=8cm and PQ=6cm, then find ...

    Text Solution

    |

  8. In trapezium PQRS, PQ||SR. If PQ=6cm, SR=9cm and QS=15cm and the point...

    Text Solution

    |

  9. In trapezium PQRS, PQ||SR. If PQ=4 units , SR=6units . If the diagona...

    Text Solution

    |

  10. In DeltaPQR, A and B are two such points on PQ and PR respectively tha...

    Text Solution

    |

  11. In the right-angled triangle ABC, /B=90^(@) and the points D and E are...

    Text Solution

    |

  12. PSis perpendicular on the hypotenuse QR of the right-angled triangle P...

    Text Solution

    |

  13. In DeltaPQR, D and E are two such points on the sides PQ and PR that D...

    Text Solution

    |

  14. In DeltaABC, the bisector of /ABC intersects AC at the point P. Prove ...

    Text Solution

    |

  15. In trapezium ABCD, AB and DC are parallel. A straight line parallel to...

    Text Solution

    |

  16. D is any point on the side BC of the DeltaABC. P and Q are the centroi...

    Text Solution

    |

  17. Prove that the line segment obtianed by joining the midpoints of two t...

    Text Solution

    |

  18. In DeltaABC, the bisector AD of /BAC intersects BC at D. Prove that t...

    Text Solution

    |

  19. Write the following sentences true or false: Square and rhombuses are ...

    Text Solution

    |

  20. AB=6.4cm. It is divided internally and externally at the points P and ...

    Text Solution

    |