Home
Class 14
MATHS
PQR is a right angled triangle in which ...

PQR is a right angled triangle in which PQ = QR. If the hypotenuse of the triangle is 20 cm, then what is the area (in `cm^2`) of the triangle PQR?
PQR एक समकोण त्रिभुज है जिसमें PQ = QR है। यदि त्रिभुज का कर्ण 20 से.मी. हैं त्रिभुज PQR का क्षेत्रफल (`से.मी.^2` में) क्या हैं?

A

`100 sqrt2`

B

100

C

`50 sqrt2`

D

50

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • 2017 TIER-II PAPER(10)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

  • 2017 TIER-II PAPER(12)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

PQR is a right angled triangle at Q in which PQ = QR. If the hypotenuse of the triangle is 20 cm, then what is the area ("in" cm^(2)) of the triangle PQR ?

The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm^2 ) of the triangle ? एक समकोण त्रिभुज की परिधि 60 cm है और इसका कर्ण 26 cm है। त्रिभुज का क्षेत्रफल ( cm^2 ) क्या है ?

In the given figure PQRSTU is a regular hexagon of side 12 cm. what is the area (in cm^2 ) of triangle SQU? दी गई आकृति में, PQRSTU एक समषट्भुज है जिसकी भुजा 12 से.मी. हे। त्रिभुज SQU का क्षेत्रफल ( से.मी.^2 में) क्या है?

In a right angled triangle PQR, PR is the hypotenuse of length 20 cm, anglePRQ=30^(@) , the area of the triangle is

If the height of an equilateral triangle is 12 cm, then what is the area of the triangle? यदि एक समबाह त्रिभुज की ऊंचाई 12 सेमी है, तो त्रिभुज का क्षेत्रफल कितना है?

In a triangle PQR, PX bisects QR. PX is the angle bisector of angle P. If PQ=12 cm and QX=3 cm, then what is the area (in cm^(2) ) of triangle PQR?

In the given figure, PQRS is a square of side 8 cm. angle PQO = 60^@ . What is the area (in cm^2 ) of the triangle POQ? दी गई आकृति में, PQRS 8 से.मी. भुजा वाला एक वर्ग है। angle PQO = 60^@ है। त्रिभुज POQ का क्षेत्रफल ( से.मी^2 में) क्या है?

If sides of a triangle are 12cm, 15 cm and 21 cm, then what is the in-radius (in cm) of the triangle? यदि एक त्रिभुज को भुजाएँ 12 सेमी., 15 सेमी. तथा 21 सेमी है, तो त्रिभुज की अंत त्रिज्या (सेमी. में) क्या है?

Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10cm, then what is thearea of the triangle PQR? त्रिभुज PQR वृत्त जिसकी भुजा 14 से.मी. है, में अंकित है। यदि PQ वृत्त का व्यास है तथा PR = 10 सेमी. हैं, तो त्रिभुज PQR का क्षेत्रफल क्या हैं?

PQRS is a parallelogram and its area is 300 cm^2 . Side PQ is extended to X such that PQ=QX. If XS intersects QR at Y, then what is the area (in cm^2 ) of triangle SYR? PQRS एक समांतर चतुर्भुज है तथा 300 से.मी.^2 है। भुजा को तक इस तरह बढाया गया कि PQ=QX है। यदि XS, QR को Y पर काटता है, तो त्रिसुज SYR का क्षेत्रफल ( से.मी.^2 में) क्या हैं?

CHAMPION PUBLICATION-2017 TIER-II PAPER(11)-EXERCISE
  1. What can be the maximum number of common tangent which can be drawn to...

    Text Solution

    |

  2. Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ i...

    Text Solution

    |

  3. PQR is a right angled triangle in which PQ = QR. If the hypotenuse of ...

    Text Solution

    |

  4. PQRS is a square whose side is 20 cm. By joining opposite vertices of ...

    Text Solution

    |

  5. If ABCDEF is a regular hexagon, then what is the value (in degrees) of...

    Text Solution

    |

  6. ABCD is square and CDE is an equilateral triangle outside the square. ...

    Text Solution

    |

  7. There is a circular garden of radius 21 metres. A path of width 3.5 me...

    Text Solution

    |

  8. In the given figure, PQRS is a square whose side is 8 cm. PQS and QPR ...

    Text Solution

    |

  9. The base of a prism is in the shape of an equilateral triangle. If the...

    Text Solution

    |

  10. The height of a cone is 24 cm and the area of the base is 154 cm^2. Wh...

    Text Solution

    |

  11. A right circular solid cylinder has radius of base 7 cm and height is ...

    Text Solution

    |

  12. A right circular cylinder is formed. A = sum of total surface area and...

    Text Solution

    |

  13. A solid sphere has a radius 21 cm. It is melted to form a cube. 20% ma...

    Text Solution

    |

  14. A solid hemisphere has radius 14 cm. It is melted to form a cylinder s...

    Text Solution

    |

  15. A cuboid has dimensions 8 cm x 10 cm x 12 cm. It is cut into small cub...

    Text Solution

    |

  16. A pyramid has a square base. The side of square is 12 cm and height of...

    Text Solution

    |

  17. What is the value of {(sin 4x+ sin4y} [(tan 2x- 2y)]}//(sin 4x -sin4y)...

    Text Solution

    |

  18. What is the value of ((32cos^(6)x-48cos^(4)x+18cos^(2)x-1))/(4sinxco...

    Text Solution

    |

  19. What is the value of [2 cot xx (pi -A)//2]//[1 +tan^2 xx (2 pi-A)//2] ...

    Text Solution

    |

  20. If tan theta + sec theta= (x - 2)//(x + 2), then what is the value of ...

    Text Solution

    |