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

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step-by-step explanation: