Math Problem Statement
Label opp(30°), adj(30°), and hypotenuse clearly. Measure the length of opp(30°) and write it down.
Solution
In the given right triangle, we have two known angles: 30° and 60°. Here's how we can label the sides in relation to the 30° angle:
- Opposite (opp(30°)): This is the side opposite the 30° angle. In this case, it is the shorter leg of the right triangle.
- Adjacent (adj(30°)): This is the side adjacent to the 30° angle and forms part of the right angle. It is the longer leg of the right triangle.
- Hypotenuse: This is the longest side, opposite the 90° angle.
Labels:
- The side opposite the 30° angle is opp(30°).
- The side adjacent to the 30° angle is adj(30°).
- The hypotenuse remains labeled as such.
Next Step: Measurement
- To measure the length of opp(30°), you would need a ruler or specific measurements of the triangle.
If you have specific values or further questions, feel free to share. Would you like me to explain more or generate questions?
5 Related Questions:
- How do we calculate the length of the sides in a 30°-60°-90° triangle given the hypotenuse?
- What is the relationship between the sides in a 30°-60°-90° triangle?
- How can trigonometric functions help in finding the sides of the triangle?
- If the hypotenuse is 10 cm, what are the lengths of the other sides?
- How do we verify the Pythagorean theorem in this triangle?
Tip:
In a 30°-60°-90° triangle, the ratio of the sides is always (opposite 30°, adjacent to 30°, hypotenuse respectively).
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Right Triangle
Angle-Side Relationships
Formulas
Sine rule: sin(30°) = opp(30°) / hypotenuse
Pythagorean theorem: a^2 + b^2 = c^2
Theorems
30°-60°-90° Triangle Theorem
Suitable Grade Level
Grades 8-10