Finding the Height of a Triangle Given Its Area and Base
Apply the geometry problem-solving strategy to find the height of a triangle when its area and base are known.
Problem: The area of a triangular painting is square inches. The base is inches. What is the height?
- Read: Determine that the problem involves a triangle with an area of square inches and a base of inches. Draw and label the figure.
- Identify: The height of the triangle.
- Name: Let the height. (See the accompanying figure for the labeled area and base.)
- Translate: Write the triangle area formula and substitute the known values:
- Solve: Simplify the right side: . Divide both sides by : .
- Check: Verify that an area of results from a base of and height of : checkmark
- Answer: The height of the triangle is inches.
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Intermediate Algebra @ OpenStax
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