To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem:

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

Given that $a = 7$ and $b = 2.3$, we want to find the hypotenuse $c$.

1. Substitute the known values into the equation:

$c^2 = 7^2 + 2.3^2$

2. Calculate $7^2$ and $2.3^2$:

$7^2 = 49$ $2.3^2 = 5.29$

3. Add these values:

$c^2 = 49 + 5.29 = 54.29$

4. Take the square root of both sides to find $c$:

$c = \sqrt{54.29} \approx 7.37$

Rounding to the nearest tenth:

$c \approx 7.4$

So, the length of the hypotenuse $c$ is approximately 7.4.

Would you like more details or have any questions?

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Here are 8 related questions:

1. How do you solve for one of the legs when given the hypotenuse and the other leg?
2. What are the typical applications of the Pythagorean theorem in real-life scenarios?
3. How do you use the Pythagorean theorem in three-dimensional geometry?
4. Can the Pythagorean theorem be used to solve problems in non-Euclidean geometry?
5. What are some examples of numbers that form Pythagorean triples?
6. How does the length of the hypotenuse relate to the angles in a right triangle?
7. How do you calculate the area of a right triangle using the lengths of the legs?
8. How does the Pythagorean theorem help in determining distances in coordinate geometry?

Tip: When solving for the hypotenuse, ensure that you carefully square each side and correctly sum them before taking the square root.