Home
Class 10
MATHS
The perimeter of a right triangle 60 cm....

The perimeter of a right triangle 60 cm. If its hypotenuse is 25 cm, find the area of the triangle.

Text Solution

Verified by Experts

The correct Answer is:
`150 cm^(2)`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|37 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|29 Videos

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|5 Videos

Similar Questions

Explore conceptually related problems

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm , find the other two sides.

The ratio of the measures of three sides of a triangle is 4 : 2 : 3 and its perimeter is 36 cm. Find the area of this triangle.

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

The measurements of the sides of a triangle are 20 cm, 30 cm and 40 cm. Find the area of this triangle.

The perimeter of a rhombus is 144 cm and one of its diagonals measures 48 cm. Find the area of the rhombus.

The perimeter of a triangle is 32 cm and two of its sides measure 8 cm and 11 cm. Find the area of the triangle.

The sides of a triangle measure 12 cm, 17 cm and 25 cm. Then, the area of the triangle is ……………. cm^(2) .

Equilateral triangles are drawn on the three sides of a right angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

KUMAR PRAKASHAN-TRIANGLES-PRACTICE THOROUGHLY
  1. In DeltaABC, D and E are points on the sides AB and AC respectively su...

    Text Solution

    |

  2. DeltaABC ~ DeltaPQR. If AB= 6.5 cm, PQ= 10.4 cm and the perimeter of D...

    Text Solution

    |

  3. In DeltaABC, D and E are points of sides AB and AC such that DE||BC. I...

    Text Solution

    |

  4. An aeroplane leaves an airport and flies due west at a speed of 2100 k...

    Text Solution

    |

  5. In the given figure, OA= 3cm, OB= 4 cm, /AOB= 90^(@), AC= 12 cm" and "...

    Text Solution

    |

  6. In trapezium ABCD, AB||CD and AB= (1)/(3)CD. The diagonals AC and BD i...

    Text Solution

    |

  7. DeltaABC" and "DeltaDEF are two equilateral triangles of sides 4 cm an...

    Text Solution

    |

  8. A girl of height 100 cm is walking away from the base of a lamp-post a...

    Text Solution

    |

  9. In triangleABC, /C= 90^(@) and P and Q are the midpoints of BC and AC ...

    Text Solution

    |

  10. In the given figure, /B= 90^(@). If AE= CD= 13 cm and BE= AD= 5 cm, th...

    Text Solution

    |

  11. In the given figure, EFGD is a square and /BAC= 90^(@). Prove that BF ...

    Text Solution

    |

  12. In right angled DeltaABC, /C= 90^(@) and D, E, F are three points on B...

    Text Solution

    |

  13. In an equilateral ABC, E is a point on BC such that BE= (1)/(4)BC. Pro...

    Text Solution

    |

  14. A rhombus has each side of length 20 cm and one pair of opposite angle...

    Text Solution

    |

  15. In DeltaABC, /B=90^(@). D and E are any points on sides AB and BC resp...

    Text Solution

    |

  16. In DeltaABC, /B= 90^(@) and BM is an altitude. Prove that (1)/(BM^2)= ...

    Text Solution

    |

  17. ABCD is a rhombus. Prove that AB^(2)+BC^(2)+CD^(2)+DA^(2)= AC^(2)+BD^(...

    Text Solution

    |

  18. In equilateral DeltaABC, D is a point on BC such that BD= (1)/(3)BC. P...

    Text Solution

    |

  19. If A be the area of a right Deltaand b be one of the sides containing ...

    Text Solution

    |

  20. The perimeter of a right triangle 60 cm. If its hypotenuse is 25 cm, f...

    Text Solution

    |