Question

The sides of a right triangle are in the ratio 3:4 .A rectangle is described on its hypotenuse being the longer side of the rectangle. The bread the 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.

Answer 1

Answer:

Step-by-step explanation:

let the sides of the triangle be 3x and 4x , so its hypotenuse will be 5x (by phythagoras theorem hypotenuse = √3x^2 + 4x^2)

so length of rectangle is 5x

and breadth is 4/5 * 5x = 4x

so perimeter = 2(5x + 4x) = 18x

and given 18x = 180

x = 10

therefore shortest side of triangle i.e. 3x = 30 cm

hope you like it , for figured answered please message me and please follow me