Since none of the user options (ExplainAnswer, TeachTopic, GeneratePractice) are true, I will proceed directly to solving the problem based on the visible content in the image.
The image shows two special right triangles at the top:
1. A 30°-60°-90° triangle with the side opposite the 30° angle labeled as 5.
2. A 45°-45°-90° triangle — but no side lengths are given for this one, so we can’t solve it without more info.
Let’s focus on the first triangle: the 30°-60°-90° triangle.
In a 30°-60°-90° triangle, the sides have a fixed ratio:
- Side opposite 30° : Side opposite 60° : Hypotenuse = 1 : √3 : 2
We’re told the side opposite the 30° angle is 5. That corresponds to the “1” part of the ratio.
So:
- Side opposite 30° = 5 → this is our “1” unit
- Therefore, side opposite 60° = 5 × √3 = 5√3
- Hypotenuse = 5 × 2 = 10
That’s all we can calculate from the given information.
Final Answer:
For the 30°-60°-90° triangle with the side opposite 30° equal to 5:
- Side opposite 60° = 5√3
- Hypotenuse = 10
Parent Tip: Review the logic above to help your child master the concept of practice worksheet special right triangles.
