The sides(other than hypotenuse) of a right angle triangle are in the ratio 3:4.A rectangle is described such that hypotenuse is being the longer side of rectangle.The breadth of the rectangle is 4/5 of its length.Find the shortest side of the right triangle f the perimeter of the rectangle is 180 cm.

Explanation

let the base of triangle be 4a , height be 3a and the length of rectangle or hypotenuse of triangle be h and breadth of rectangle be 4/5h

`h = sqrt((3*a)^2 + (4*a)^2)`

`h = 5*a`

so, breath will be`4/5 * 5*a = 4*a `

perimeter = 180 cm
`2*(l+b) = 180`

`5*a + 4*a = 90`

`9*a = 90`

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