Question

. A right triangle has one leg with a length of two. Give an example of possible lengths for the other leg and the hypotenuse.

Answer 1

For the other leg = 1 unit, the hypotenuse will be =
`√(5)` units.

For the other leg = 2 unit, the hypotenuse will be =
`2√(2)` units.

Step-by-step explanation:

A right triangle has one leg with a length of 2 units.

Now we have to give examples of the possible length of the other leg and the hypotenuse.

The length of the other leg does not depend on the given leg length of 2 units.

So, it maybe 1 unit or 2 units or any value.

If the other leg is 1 unit, then the length of the hypotenuse will be (Applying Pythagoras Theorem) =
`\sqrt{2^(2) + 1^(2)} = √(5)` units.

If the other leg is 2 units, then the length of the hypotenuse will be =
`\sqrt{2^(2) + 2^(2)} = 2√(2)` units.

And hence, we will get a distinct length of hypotenuse for each length of the other leg. (Answer)