Calculate the difference between two gradients

[tomtomtom1]

Hello all

I am new to this forum and my math is very weak and thus was hoping someone could shed some light on the following:-

I have two right triangles:-
Triangle1 - Length(x) is 4 and Height (Y) is 5
Triangle2 - Length (x) is 6 and Height (Y) is 2

Calculate the change of gradient between the two triagnles and express the result in the form 1 in x.

Could someone shed some light on how you would solve this.

(i get 1 in 1.090909 - but i have been informed that this is incorrect. Can someone help)

Thank you.

 

[HallsofIvy]

First, this has nothing to do with "Linear and Abstract Algebra" so I am moving it to general mathematics.

Second, simply giving "length" and "height" does not determine a triangle.

Third, I don't know what you mean by the "gradient" of a triangle.

Are you assuming these are right triangles and really asking for the gradient of the hypotenuse? If so,the gradient is simply "height" divided by "length". The gradient of the first is 5/4 and of the second 2/6= 1/3. The "change in gradient" is from 5/4 to 1/3 which we can do by multiplying by 4/15.