One of the legs of a right triangle measures 2 cm and the other leg measures 1 cm . Find the
measure of the hypotenuse. If necessary, round to the nearest tenth.

Question

One of the legs of a right triangle measures 2 cm and the other leg measures 1 cm . Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

UpStudy AI · Accepted Answer

To find the measure of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states:

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

where:
- $$c$$ is the length of the hypotenuse,
- $$a$$ and $$b$$ are the lengths of the other two legs.

In this case, we have:
- $$a = 2$$ cm,
- $$b = 1$$ cm.

Now, we can substitute these values into the Pythagorean theorem:

$$
c^2 = 2^2 + 1^2
$$

Calculating the squares:

$$
c^2 = 4 + 1
$$

$$
c^2 = 5
$$

Now, to find $$c$$, we take the square root of both sides:

$$
c = \sqrt{5}
$$

Next, we will calculate the value of $$\sqrt{5}$$ and round it to the nearest tenth.

Let's perform the calculation.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{5}$$
The value of $$\sqrt{5}$$ is approximately $$2.236068$$.

Rounding this to the nearest tenth, we get:

$$
c \approx 2.2
$$

Thus, the measure of the hypotenuse is approximately **2.2 cm**.
The hypotenuse is approximately 2.2 cm.

One of the legs of a right triangle measures 2 cm and the other leg measures 1 cm . Find the
measure of the hypotenuse. If necessary, round to the nearest tenth.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Geometry Questions