Question

Two right triangles with the following dimensions are graphed with their hypotenuses on the same line:



triangle X:

horizontal leg measures 2 units

vertical leg measures 8 units


triangle Y:

horizontal leg measures 4.5 units

vertical leg measures 18 units



Which other triangles could also have their hypotenuse on the same line?



Choose all answers that are correct.

Answer 1

See in this question , the hypotenuse should lie on a specific line right? So, the slope has to be same for all the three cases. That means the two cases given in the question and your answer. So, Divide the veritcal leg by the horizontal leg to get a ratio, which is called the slope.

Answer 2

Now, what you do is, check the options. Divide agan, the veritcal leg and the horizontal leg and see, where does the slope/ratio come out to be the same, as calculated earlier. That shall be your answer :-)

Answer 3

Here it should be A C and D :-)

Answer 4

And the ratio is 4