Home
Class 10
MATHS
The altitude of a right triangle is 7 cm...

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

Text Solution

Verified by Experts

The correct Answer is:
5cm, 12cm
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 5.3|16 Videos

  • QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 5.4|8 Videos

  • QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 5.1|12 Videos

  • PROGRESSIONS

    NCERT BANGLISH|Exercise OPTIONAL EXERCISE (FOR EXTENSIVE LEARNING)|7 Videos

  • REAL NUMBERS

    NCERT BANGLISH|Exercise OPTIONAL EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

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

The hypotenuse of a right triangle is 6m more than twice of the shortest side. If the third side is 2 m., less than the hypotenuse, find the sides of the triangle

One of the sides of a right- angled triangle is 36 cm and the sum of the hypotenuse and another side is 54 cm. Find the length of the hypotenuse and another side.

Represent the following situations with suitable mathematical equations. The hypotenuse of a right triangle is 25 cm. We know that the difference in lengths of the other two sides is 5 cm. We would like to find out the length of the two sides?

The hypotenuse of a right angled triangle is 6 cm more than twice the shortest side. If the third side is 2 cm less than the hypotenuse. Find the sides of the triangle___

The base of a triangle is 4cm longer than its altitude. If the area of the triangle is 48 sq.cm then find its base and altitude.

If the radius of the circumcenter of a right angle triangle is 8cm , then calculate the hypotenuse of the triangle.

If the radius of the circumcenter of a right angle triangle is 12cm , then calculate the hypotenuse of the triangle.

If the radius of the circumcenter of a right angle triangle is 10cm , then calculate the hypotenuse of the triangle.

The base of an isosceles triangle is 12 cm and the length of each of the equal sides is 10 cm, find the height of the triangle.

NCERT BANGLISH-QUADRATIC EQUATIONS-EXERCISE - 5.2
  1. Find the roots of the quadratic equations by factorisation: x^(2)-3...

    Text Solution

    |

  2. Find the roots of the quadratic equations by factorisation: 2x^(2)+x...

    Text Solution

    |

  3. Find the roots of the quadratic equations by factorisation: sqrt(2)x...

    Text Solution

    |

  4. Find the roots of the quadratic equations by factorisation: 2x^(2)-x...

    Text Solution

    |

  5. Find the roots of the quadratic equations by factorisation: 100x^(2)...

    Text Solution

    |

  6. Find the roots of the quadratic equations by factorisation: x(x+4)=1...

    Text Solution

    |

  7. Find the roots of the quadratic equations by factorisation: 3x^(2)-5...

    Text Solution

    |

  8. Find the roots of the quadratic equations by factorisation: x-(3)/(x...

    Text Solution

    |

  9. Find the roots of the quadratic equations by factorisation: 3(x-4)^(...

    Text Solution

    |

  10. Find two numbers whose sum is 27 and product is 182.

    Text Solution

    |

  11. Find two consecutive positive integers, sum of whose squares is 613.

    Text Solution

    |

  12. The altitude of a right triangle is 7 cm less than its base. If the hy...

    Text Solution

    |

  13. A cottage industry produces a certain number of pottery articles in a ...

    Text Solution

    |

  14. Find the dimensions of a rectangle whose perimeter is 28 meters and wh...

    Text Solution

    |

  15. The base of a triangle is 4cm longer than its altitude. If the area of...

    Text Solution

    |

  16. Two trains leave a railway station at the same time. The first train t...

    Text Solution

    |

  17. In a class of 60 students, each boy contributed rupees equal to the nu...

    Text Solution

    |

  18. A motor boat heads upstream a distance of 24 km in a river whose curre...

    Text Solution

    |