Question

One triangle on a graph has a vertical side of 7 and a horizontal side of 12. Another triangle on a graph has a vertical side of 28 and a horizontal side of 48.

Could the hypotenuses of these two triangles lie along the same line?

Answer 1

Answer:

Yes because all the triangles can fit along this line

Step-by-step explanation:

just do the math!

7 x 4 = 28

12 x 4 = 48

The higher numbers might be higher on the line but still in the same line :)

Answer 2

The slope of the hypotenuse of both triangles are the same, therefore, the two triangles can lie along the same line.

Hypotenuse of Triangle

• Hypotenuse is the longest side of a right triangle.
• The slope of the hypotenuse = vertical side / horizontal side.
• Triangles whose hypotenuse have the same slope lie on the same line on  graph.

Slope of the first triangle:

Vertical side = 7

Horizontal side = 12

Slope = 7/12

Slope of the second triangle:

Vertical side = 28

Horizontal side = 48

Slope = 28/48 = 7/12

In summary, the slope of the hypotenuse of both triangles are the same, therefore, the two triangles can lie along the same line.

Learn more about the Hypotenuse of Triangle on:

https://brainly.com/question/22605943