https://file.aiquickdraw.com/mathbot/file/172659984016874frzba1.jpg

This image shows a right triangle with the following given sides:
- One leg: 10 cm
- Another leg: 25 cm
- Hypotenuse: 26.9 cm

You are asked to find the angle \( \theta \) in the triangle. Since this is a right triangle, we can use trigonometric functions to calculate \( \theta \).

To find \( \theta \), we can apply the tangent function:
\[
\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{10}{25}
\]

Now, let's compute the angle \( \theta \).The angle \( \theta \) is approximately \( 21.8^\circ \).

Would you like further details or have any additional questions? Here are some related questions:

1. How would you find the other angles in the triangle?
2. Can the Pythagorean theorem be used to verify the hypotenuse length?
3. What is the sine of the angle \( \theta \)?
4. How can cosine be used to find \( \theta \)?
5. What is the area of this triangle?

**Tip**: Always double-check trigonometric functions when working with right triangles.

Find the angle θ in a right triangle with legs 10 cm and 25 cm, and a hypotenuse of 26.9 cm.

Solve for the angle θ in a right triangle with sides of 10 cm and 25 cm, and a hypotenuse of 26.9 cm. Learn how to use trigonometric functions and verify using the Pythagorean theorem. Suitable for students in Grades 8-10.

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