For each triangle draw a height segment that corresponds to the given base and label h.

To draw a height (or altitude) of a triangle corresponding to a given base:

1. **Identify the base**: Select one of the sides of the triangle that will serve as the base.

2. **Draw the height**: The height (denoted as \(h\)) is the perpendicular line segment drawn from the vertex opposite the base to the base (or to the line extended through the base, if necessary).

3. **Label the height**: Mark the height with the label \(h\), ensuring it forms a right angle with the base.

Let me describe how this would work for different types of triangles:

### 1. **For a Right Triangle**:
   - The height is simply one of the legs of the triangle, and the base is the other leg. The height and base are already perpendicular to each other.
   
### 2. **For an Acute Triangle**:
   - Select the base, and from the opposite vertex, draw a perpendicular line to the base. This is the height \(h\).

### 3. **For an Obtuse Triangle**:
   - The height is drawn from the vertex opposite the base, but since the vertex lies outside the triangle, you must extend the base beyond the triangle. Then, draw the perpendicular from the opposite vertex to this extended base.

Would you like me to generate a visual for these triangle examples with labeled height \(h\)?

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Here are some related questions to help reinforce the concept:

1. How is the height of an acute triangle different from the height of an obtuse triangle?
2. Can a height lie outside the triangle? In which case?
3. What role does the height play in finding the area of a triangle?
4. How do you determine the height of an equilateral triangle if the side length is known?
5. How can the Pythagorean theorem be used to find the height in a right triangle?

**Tip**: The height in any triangle is always perpendicular to the base, regardless of the triangle's type.

Learn how to draw and label the height (h) in various types of triangles, including right, acute, and obtuse triangles. This guide covers essential geometric concepts and theorems, such as perpendicular lines and the Pythagorean theorem. Suitable for students in Grades 6-8.

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