the sides other than hypotenuse of a right triangle are in the ratio of 2 is to 4 a rectangle is described on hypotenuse the hypotenuse been the longest side of the rectangle the breadth of the rectangle is 4 by 5 of its length find the shortest side of the right Triangle if the perimeter of the rectangle is 180 cm
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Step-by-step explanation: Hai here is my answer
- let the length of the rectangle =a
- breadth of the rectangle=b
- given b=4a/5 and also perimeter=180
- so 2(a+4a/5)=180 , a+4a/5 =90
- a=50 ,b=40
- so the hypotenuse is 50cm
- let the shortest side be x
- another side of the right angle triangle be y
- given x/y=1/2
- so x=y/2 or y=2x
- we know that x.x +y.y =a.a
- so on solving we get x=10into root5
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