If a right triangle has a leg that is 6 ft. long and the hypotenuse is 12 ft. long, how long is the other leg? Round to the nearest tenth.(1 point)

Answer 1

To find the length of the other leg in a right triangle, we can use the Pythagorean theorem, which states:

$$a^2+b^2=c^2$$

where $c$ is the length of the hypotenuse and $a$ and $b$ are the lengths of the legs.

In the given triangle:

• One leg (let's call it $a$) is 6 ft.
• The hypotenuse (let's call it $c$) is 12 ft.
• We need to find the length of the other leg (let's call it $b$).

Using the Pythagorean theorem:

$$6^2+b^2={12}^2$$

Calculating the squares:

$$36+b^2=144$$

Now, subtract 36 from both sides:

$$b^2=144-36$$ $$b^2=108$$

Now take the square root of both sides to find $b$:

$$b=\sqrt{108}$$

To simplify $\sqrt{108}$:

$$\sqrt{108}=\sqrt{36\times 3}=6\sqrt{3}$$

Now, we can calculate $6\sqrt{3}$. The approximate value of $\sqrt{3}$ is about 1.732.

So:

$$b\approx 6\times 1.732\approx 10.392$$

Rounding to the nearest tenth:

$$b\approx 10.4\text{ ft}$$

Thus, the length of the other leg is approximately 10.4 ft.

Answer 2

Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point)

Answer 3

To help you find the unknown side length in a triangle, I need more specific details about the triangle in question, such as:

1. What type of triangle is it (right triangle, acute triangle, obtuse triangle)?
2. What information do you have (lengths of the sides, angles, etc.)?

Please provide the necessary details so I can assist you accurately!