The legs of a right triangle are 15 cm and 20 cm. Find the latitude to the hypotenuse.

In a right triangle, the length of the hypotenuse can be found using the **Pythagorean Theorem**:

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

where:
- \( a \) and \( b \) are the legs of the right triangle,
- \( c \) is the hypotenuse.

Given:
- \( a = 15 \, \text{cm} \),
- \( b = 20 \, \text{cm} \),

we can substitute these values into the formula:

\[
c = \sqrt{15^2 + 20^2} = \sqrt{225 + 400} = \sqrt{625} = 25 \, \text{cm}
\]

Therefore, the length of the hypotenuse is **25 cm**.

Would you like further details or have any questions?

### Related Questions:
1. How does the Pythagorean Theorem apply to non-right triangles?
2. Can the hypotenuse ever be shorter than one of the legs?
3. How do you calculate the area of this triangle?
4. What are the properties of an isosceles right triangle?
5. How do trigonometric functions relate to the sides of a right triangle?

**Tip:** Always check if a triangle is a right triangle before applying the Pythagorean Theorem.

Learn how to calculate the hypotenuse of a right triangle with legs measuring 15 cm and 20 cm using the Pythagorean Theorem. This problem introduces core geometric concepts and provides a step-by-step solution. Suitable for students in Grades 8-10.

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