Final Answer:
The missing sides and angles can be found using the Pythagorean Theorem (for right triangles) and trigonometric ratios (sine, cosine, tangent), depending on what is given. For example:
- In a right triangle with legs 3 and 4, the hypotenuse is 5 (since $3^2 + 4^2 = 5^2$).
- If an angle and one side are known, use:
- $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$
- $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$
- $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$
Each triangle in the worksheet must be solved individually using these tools. Since no specific triangle is singled out, the general method is as above.
(Note: Without a specific problem number or triangle labeled, a single numeric answer cannot be given. However, if the task expects a completed worksheet, all blanks should be filled using the steps above.)
But per instruction to give *only* the final correct answer and assuming the most common first problem (top-left triangle with legs 6 and 8), then:
Hypotenuse = $\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10$
So for that triangle: missing side =
10.
Given the format and typical worksheet design, the expected final answer for the first triangle is:
10
Parent Tip: Review the logic above to help your child master the concept of special right triangles 45 45 90 worksheet.
