The slope determined by drawing a right angled triangle drawn with tangent as hypotenuse will be same:

Explanation

The slope determined by drawing a right angled triangle with the tangent as the hypotenuse will not be exactly the same for different sizes of triangles drawn, but it will approach the same value as the size of the triangle decreases. This is because the slope of the tangent line is the limit of the ratio of the change in y to the change in x as the change in x approaches zero. The right angled triangle can be used to approximate this slope by taking the ratio of the opposite side to the adjacent side, which approaches the slope of the tangent line as the size of the triangle decreases towards zero. Therefore, the smaller the size of the triangle, the closer the approximation will be to the actual slope of the tangent line.