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What is the smallest possible length of the hypotenuse for a non-degenerate
right triangle with integer side lengths given that it has at least 1 leg of length
84.

Respuesta :

MrRoyal

The smallest possible length of the hypotenuse is 118

How to determine the hypotenuse?

The given parameters are:

  • Triangle type: non-degenerate right triangle
  • Legs: Length = 84 (at least 1)

The non-degenerate implies that the right triangle has a positive area.

Since at least one length is 84, then both lengths can also be 84.

The hypotenuse is then calculated using the following Pythagoras theorem.

h^2 = 84^2 + 84^2

Evaluate the sum

h^2 = 14112

Take the square root of both sides

h = 118.8

Round down

h = 118

Hence, the smallest possible length of the hypotenuse is 118

Read more about right triangles at:https://brainly.com/question/2437195

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