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

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

AI Generated Solution

To solve the problem step by step, we will follow the information given and apply the Pythagorean theorem. ### Step 1: Define the variables Let the base of the right triangle be \( x \) cm. According to the problem, the altitude (height) is 7 cm less than the base, so we can express the altitude as: \[ \text{Altitude} = x - 7 \text{ cm} \] ...
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

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

The height of a right triangle is 7cm less than its base.If the hypotenuse is 13cm, find the base of the triangle.Also find the area of the triangle.

Knowledge Check

  • The base of a right triangle is 48 cm and its hypotenuse is 50 cm long. The area of the triangle is

    A
    168 `cm^(2)`
    B
    252 `cm^(2)`
    C
    336 `cm^(2)`
    D
    504 `cm^(2)`
  • In a right triangle, base is 1 unit greater than the height. If hypotenuse is 5 units then the other sides are

    A
    3, 4
    B
    2, 3
    C
    1, 4
    D
    2, 4
  • The difference between altitude and base of a right angled triangle is 17 cm and its hypotenuse is 25 cm. What is the sum of the base and altitude of the triangle is :

    A
    24 cm
    B
    31 cm
    C
    34 cm
    D
    can't be determined
  • Similar Questions

    Explore conceptually related problems

    The height of a right triangle is 7cm less than its base.If the hypotenuse is 13cm, form the quadratic equation to find the base of the triangle.

    The sides of a right angle triangle is 17 cm less than the other side. It length of hypotenuse is 25 cm . Find the length of sides.

    The length of one side of a right triangle is 4.5 cm and the length of its hypotenuse is 7.5cm Find the length of its third side.

    Solve the following questions. (i) Suppose height of a right angled triangle is 1 less than two times its base. It's hypotenuse is 7 less than 3 times its base. Find all the sides of the right angled triangle.

    The height of a triangle is 2 cm less than twice its base. If the base of the triangle is 6 cm, then what is the area of the triangle?