Question

the sides (other than hypotenuse) of a right triangle are in the ratio of my 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, of the perimeter of the rectangle Is 180 cm.
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Answer 1

Answer:

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Answer 2

Answer:

let the sides be 3x,4x

=> hypothenuse = √(9x²+16x²) = √25x² = 5x

since, hypothenuse is length of rectangle

=> length of rectangle = 5x

=> breadth = 4/5 (length) = 4/5 (5x) = 4x

perimeter of rectangle = 2(l+b) = 2(5x+4x) = 2(9x)

=> 180 = 18x => x = 10

the sides of right triangle are 3x,4x,5x

so, the shortest side of right triangle is 3x

=> 3(10) = 30cm