Question

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

Answer 1

Answer:

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