https://file.aiquickdraw.com/mathbot/file/1726755382246eny7xivz.jpg

The image shows a right-angled triangle with two given sides:

- One leg of length **4.2 cm**
- Another leg of length **4.2 cm**
- The hypotenuse is marked as **x**, which we need to find.

To find the hypotenuse \( x \), we can use the **Pythagorean theorem**:
\[
x^2 = a^2 + b^2
\]
where \( a \) and \( b \) are the legs of the right triangle.

Given \( a = 4.2 \, \text{cm} \) and \( b = 4.2 \, \text{cm} \), the equation becomes:
\[
x^2 = 4.2^2 + 4.2^2
\]

Let me calculate that for you.The length of the hypotenuse \( x \) is approximately **5.94 cm**.

Would you like further details or have any other questions?

Here are 5 related questions to expand your understanding:
1. What is the Pythagorean theorem, and how is it applied in different triangle problems?
2. How do you solve for unknown side lengths in non-right-angled triangles?
3. What are some real-life applications of the Pythagorean theorem?
4. Can you find the perimeter of the triangle based on the given sides?
5. How would you calculate the area of this triangle?

**Tip:** When dealing with right-angled triangles, always ensure you correctly identify the legs and hypotenuse to apply the Pythagorean theorem.

What is the length of the hypotenuse of a right-angled triangle with both legs of 4.2 cm?

Learn how to calculate the hypotenuse of a right-angled triangle with both legs measuring 4.2 cm. Using the Pythagorean theorem, this step-by-step solution is ideal for students in Grades 6-8.

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