The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with lengths in the ratio 1: 2. the length of the altitude is 8. how long is the hypotenuse

The hypotenuse is 17.1 inches long

Given that the scale ratio is 1 : 2.

This means that:

Segment 1 : Segment 2 = 1 : 2

This gives

Segment 1 : Segment 2 = x : 2x

By comparison,

Segment 1 = x

Segment = 2x

Using the Altitude rule, x is then calculated as:

Substitute known values

Cross multiply

Divide through by 2

Take the square root of both sides

The length of the hypotenuse (h) is then calculated as:

Hence, the hypotenuse is 17.1 inches long

Read more about right triangles at:

link

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)