Question

Why construction of a triangle with one right angle and other obtuse angle is not possible

Answer 1

a triangle= 180°
obtuse angle= between 90° & 180°
right angle = 90°
therefore,
so both side become 90°
or one side become 90>180
then therefore we cannot custruct a triangle with one right angle & one obtuse angle

Answer 2

so according to question let us assume a triangle ABC with one right angle and one obtuse angle say 120° and one acute angle say 30°
it is a triangle so it should verify angle sum property of triangle
120+90+30=180
240≠180
our assumption is wrong