Question

16. The sides (other than hypotenuse) of a right triangle are in the ratio 3 : 4. A
rectangle is described on its hypotenuse, the hypotenuse being the longer side
of the rectangle. The breadth of the rectangle is four-fifth of its length. Find the
shortest side of the right triangle, if the perimeter of the rectangle is 180 cm.
[Hint. Hypotenuse = sum of squares of sides
√(3x)² + (4x)? = √25x² = 5x
.. Breadth of the rectangle = (5x
)
(5x) = 4x
Now, use perimeter of the rectangle = 2(length + breadth) = 2(5x + 4x) = 180 given]
| THI
hit the same time travellino in nosite directione e​

Answer 1

Answer:

The sides (other than hypotenuse) of a right triangle are in the ratio 3 : 4. A

rectangle is described on its hypotenuse, the hypotenuse being the longer side

of the rectangle. The breadth of the rectangle is four-fifth of its length. Find the

shortest side of the right triangle, if the perimeter of the rectangle is 180 cm.

[Hint. Hypotenuse = sum of squares of sides

√(3x)² + (4x)? = √25x² = 5x

.. Breadth of the rectangle = (5x

)

(5x) = 4x

Now, use perimeter of the rectangle = 2(length + breadth) = 2(5x + 4x) = 180 given]

| THI

hit the same time travellino in nosite directione e