Draw a triangle of circumradius 3centimeters and two of the angles 32 ½0. ,,37 ½0.

To draw a triangle with a circumradius of 3 centimeters and two angles measuring 32.5° and 37.5°, follow these steps:

### 1. **Determine the Third Angle:**
   - The sum of the angles in a triangle is 180°.
   - The third angle, \( C \), can be calculated as:
   \[
   C = 180° - (32.5° + 37.5°) = 110°
   \]

### 2. **Draw the Circumcircle:**
   - Draw a circle with a radius of 3 centimeters using a compass. This is the circumcircle of the triangle.

### 3. **Mark the Vertices on the Circumcircle:**
   - Place one vertex \( A \) anywhere on the circumcircle.
   - Use a protractor to measure an angle of 32.5° and mark the second vertex \( B \).
   - Similarly, measure an angle of 37.5° from vertex \( B \) to locate the third vertex \( C \) on the circumcircle.

### 4. **Connect the Vertices:**
   - Draw straight lines between the vertices \( A \), \( B \), and \( C \) to form the triangle.

### Visualization:
This construction ensures that the triangle has a circumradius of 3 centimeters and the specified angles. If you want, I can create a visual representation of this triangle. Would you like to see an image of it?

Learn how to draw a triangle with a circumradius of 3 centimeters and angles measuring 32.5° and 37.5°. Follow detailed steps including determining the third angle, drawing the circumcircle, and marking the vertices on the circle. Suitable for high school students learning geometric construction.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation