Two right triangles are graphed on a coordinate plane. one triangle has a vertical side of 2 and a horizontal side of 6. the other triangle has a vertical side of 10 and a horizontal side of 30. could the hypotenuses of these two triangles lie along the same line? no, because they are not similar triangles no, because one is larger than the other yes, because they are both right triangles yes, because they are similar triangles description

4th option is correct that is Yes, Because They are similar triangles.

Step-by-step explanation:

Given:

Two Right angled triangle.

Triangle 1: vertical side = 2 and horizontal side = 6

Triangle 2: vertical side = 10 and horizontal side = 30

In Traingle 1 and Traingle 2,

Both triangle has right angles.

So, Both triangles are similar.

Therefore, 4th option is correct that is Yes, Because They are similar triangles.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).