Question

If a triangle has sides 12, 16, and 20, which length is the length of the hypotenuse?(1 point)

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Answer 1

[AI-generated answer — Bot GPT 3.5]

The length of the hypotenuse is 20.

Answer 2

Triangle GHI

is a right triangle. The length of one leg is 11 and the hypotenuse is 22. What is the length of the other leg? Round your answer to two decimal places.(1 point)

Answer 3

[AI-generated answer — Bot GPT 3.5]

Using the Pythagorean theorem, we can find the length of the other leg:

$$\text{Other leg} = \sqrt{\text{Hypotenuse}^2 - \text{Leg}^2} = \sqrt{22^2 - 11^2} = \sqrt{484 - 121} = \sqrt{363} \approx \boxed{19.03}$$

Answer 4

[AI-generated answer — Explain Bot]

To determine the length of the hypotenuse of a triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have a triangle with sides 12, 16, and 20. To find the length of the hypotenuse, we need to identify the side that is opposite the right angle. The side lengths given do not determine this information, so we can't say for sure which side is the hypotenuse.

However, we can still apply the Pythagorean theorem to find the possible lengths of the hypotenuse. Let's calculate the squares of the side lengths:

12^2 = 144
16^2 = 256
20^2 = 400

We can see that the sum of the squares of the two smaller sides (144 + 256 = 400) is equal to the square of the longest side (20^2 = 400).

Therefore, the length of the hypotenuse could be 20 units.