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Angles of a triangle are in the ratio 1:1:2.find their sides

Angles of a triangle are in the ratio 1:1:2.find their sides

Grade:11

1 Answers

Dheeraj
38 Points
4 years ago
its easy...just let the angles be some positive integer...now they are in ratio 1:1:2 ..mean the angles are the multiple of 1 , 1 ,2 respectively along with another multiple x(let)...so now we know the angles as 1x,1x,2x..also we know 1x+1x+2x=180deg (angle sum property of a triangle)...so from that we get the angles as 45deg , 45deg , 90deg respectively...now observe its a right angled isoseles triangle ….with it to be isoseles it mean the perpendicular and base are same...now by pythagoras theorem we get...(P)2+(B)2=(H)2....ok here P=B … so P2=B2....now 2P2=H2 or ...this implies that we can take the sides to be of any lenght by the Perpendicular and Base must be same …....

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