We need to position the right triangle Δ MNO in the first quadrant with coordinates , M(0,0) , N (0,a) & O (2a,0).
It is given that Δ MNO with right angle at point M has legs of lengths a and 2a .
We have to position the triangle on coordinate plane.
What is a right angled triangle ?
A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.
As per the question ;
The triangle is a right angle triangle, so it's two sides can be located
on axis.
Place the right angle of the triangle Δ MNO at M.
i.e., M will have coordinates (0,0)
The origin will allow the two legs to be along the x and y-axes , so position the triangle in the first quadrant.
As N is on the y-axis ;
Its x-coordinate will be 0 and the y-coordinate will be a , because the leg is a units long.
i.e., N will have coordinates (0,a)
As O is on the x-axis,
its y-coordinate will be 0 and the x-coordinate will be 2a , because the leg is 2a units long.
i.e.,
O will have coordinate (2a,0)
We can put these coordinates after placing the triangle in the first quadrant i.e., M (0,0) , N (0,a) & O (2a,0).
Thus , we need to position the right triangle Δ MNO in the first quadrant with coordinates , M(0,0) , N (0,a) & O (2a,0).
To learn more about coordinates of right angle triangle click here ;
brainly.com/question/19606764
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