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This is a right triangle where two sides are labeled: one side is 10 cm, the other is 6.5 cm, and the angle between them is a right angle (90°).

To find the missing side \( a \) (the hypotenuse), we can use the Pythagorean theorem, which states:

\[
a^2 = 6.5^2 + 10^2
\]

Now, let’s calculate \( a \). math

# Given values
side1 = 6.5  # cm
side2 = 10   # cm

# Pythagorean theorem to calculate the hypotenuse (a)
a = math.sqrt(side1**2 + side2**2)
aThe length of the hypotenuse \( a \) is approximately 11.93 cm.

Would you like any further details or clarification on this? Here are some related questions:

1. How do you use the Pythagorean theorem for non-right triangles?
2. What happens if the triangle isn't a right triangle but you still want to find the third side?
3. How can you calculate angles in right triangles?
4. What is the relationship between trigonometric ratios and the sides of right triangles?
5. What other geometric properties are important for triangles?

**Tip:** The Pythagorean theorem only applies to right triangles, where one of the angles is 90°.

Find the missing side (a) of a right triangle where the two given sides are 10 cm and 6.5 cm.

Discover how to calculate the missing side of a right triangle with side lengths 10 cm and 6.5 cm using the Pythagorean theorem. This step-by-step solution is ideal for Grades 8-10 students learning about geometry and right triangles.

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