What is the hypotenuse of a right triangle with one leg 12 meters and one leg 7.5 meters

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

\[
c = \sqrt{a^2 + b^2}
\]

Where:
- \(c\) is the hypotenuse,
- \(a\) and \(b\) are the lengths of the two legs.

Given:
- \(a = 12\) meters,
- \(b = 7.5\) meters,

Substitute these values into the formula:

\[
c = \sqrt{12^2 + 7.5^2}
\]

\[
c = \sqrt{144 + 56.25}
\]

\[
c = \sqrt{200.25}
\]

\[
c \approx 14.16 \text{ meters}
\]

So, the hypotenuse is approximately 14.16 meters.

Would you like more details or have any questions?

Here are some related questions:
1. How do you find the area of a right triangle given its legs?
2. How can the Pythagorean theorem be used in three-dimensional space?
3. What is the relationship between the hypotenuse and the angles in a right triangle?
4. How do you determine the length of a leg if the hypotenuse and one leg are known?
5. How does the Pythagorean theorem apply to isosceles right triangles?

**Tip:** Always double-check your calculations when working with square roots, as small errors can lead to incorrect results.

Learn how to find the hypotenuse of a right triangle with legs measuring 12 meters and 7.5 meters using the Pythagorean theorem. This problem includes detailed step-by-step calculations and explanations. Suitable for students in Grades 7-9.

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