the side other than hypotenuse of a right triangle are in the ratio 3:4 rectangle is described on its hypotenuse the hypotenuse is the longest side of the rectangle the plate of the rectangle is 4/5 of its length.Find the shortest side of the right triangle if the perimeter of the rectangle is 180
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hypotenuse = sqrt [ ( 3x ) ^2 + ( 4x ) ^2 ]
sqrt [ 9x^2 + 16x^2]
sqrt [ 25x^2 ]
hypotenuse = 5x
length of the rectangle = hypotenuse
l = 5x
b = 4/ 5 of length
= 4 / 5 x 5x
b = 4x
perimeter of rectangle = 180
2 ( l + b ) = 180
5x + 4x = 180 / 2
9x = 90
x = 90 / 9
x = 10
sides of triangle
3x , 4x , 5x
3x is the shortest side in right angled triangle
3 x 10 = 30
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