\begin{tabular}{l} Question \ One of the legs of a right triangle measures 3 cm and the other leg measures 18 cm . Find the measure of the hypotenuse. If necessary, round to \ the nearest tenth. \ Answer Attempt 1 out of 3 \ \hline\end{tabular}

Question

UpStudy AI · Accepted Answer

**Step 1: Write Down the Pythagorean Theorem**

For a right triangle with legs $$ a $$ and $$ b $$ and hypotenuse $$ c $$, the theorem states:

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

**Step 2: Substitute the Given Values**

Given $$ a = 3 $$ cm and $$ b = 18 $$ cm, we have:

$$
c^2 = 3^2 + 18^2
$$

**Step 3: Compute the Squares**

$$
3^2 = 9 \quad \text{and} \quad 18^2 = 324
$$

So,

$$
c^2 = 9 + 324 = 333
$$

**Step 4: Solve for $$ c $$ (the Hypotenuse)**

$$
c = \sqrt{333}
$$

**Step 5: Approximate the Value**

Calculating the square root,

$$
\sqrt{333} \approx 18.248
$$

Rounded to the nearest tenth,

$$
c \approx 18.2 \text{ cm}
$$
The hypotenuse is approximately 18.2 cm.

Question

One of the legs of a right triangle measures 3 cm and the other leg measures 18 cm . Find the measure of the hypotenuse. If necessary, round to

the nearest tenth.

Answer Attempt 1 out of 3

Upstudy AI Solution

Answer

Solution

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Question One of the legs of a right triangle measures 3 cm and the other leg measures 18 cm . Find the measure of the hypotenuse. If necessary, round to the nearest tenth. Answer Attempt 1 out of 3